Mathematics : asked on pobruce53

27.08.2021

Solve for x 64^x^2 = 256^x

0

Step-by-step answer

09.07.2023, solved by verified expert

Mathematics, DAV Post Graduate College

7 045 answers

Unlock the full answer

x = 0, 1.333333...

Step-by-step explanation:

1) Convert both sides to the same base.

2) Cancel the base of 16 on both sides.

3) Move all terms to one side.

4) Factor out the common term x.

5) Solve for x.

1 - Ask: When will x(1.5x-2) equal zero?

When x = 0 or 1.5x - 2 = 0
2 - Solve each of the 2 equations above.

x = 0, 1.333333...

It is was helpful?

Helpful Useless

Faq

Mathematics

Solve for x 64^x^2 = 256^x

Step-by-step answer

P Answered by Specialist

x = 0, 1.333333...

Step-by-step explanation:

1) Convert both sides to the same base.

$16^{1.5x^{2} } =16^{2x}$

2) Cancel the base of 16 on both sides.

$1.5x^{2} =2x$

3) Move all terms to one side.

$1.5x^{2} -2x=0$

4) Factor out the common term x.

x(1.5x-2)=0

5) Solve for x.

1 - Ask: When will x(1.5x-2) equal zero?

When x = 0 or 1.5x - 2 = 0
2 - Solve each of the 2 equations above.

x = 0, 1.333333...

Mathematics

Solve for x 64^x-2=256^2x

Step-by-step answer

P Answered by PhD

6

$64^{x-2}=256^{2x}\\ \\(4^3)^{x-2}=(4^4)^{2x}\\ \\4^{3x-6}=4^{8x}\ \ \ \ \Leftrightarrow\ \ \ \ 3x-6=8x\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x-8x=6\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -5x=6\ \ \ \ \Leftrightarrow\ \ \ \ x=- \frac{6}{5}$

Mathematics

Which value must be added to the expression x^2 +16x to make it perfect-square trinomial? a-8 b-32 c-64 d-256 edit: it’s not a

Step-by-step answer

P Answered by PhD

2

X^2 + 16x + ?
a^2 + 2ab + b
(a + b)^2 which is a perfect square.

To find b to determine the last value, you divide 16x by 2x.
so:
b = 8
the last value would be 8^2 which is 64.

Hence answer is C - 64

Mathematics

Which value must be added to the expression x^2 +16x to make it perfect-square trinomial? a-8 b-32 c-64 d-256 edit: it’s not a

Step-by-step answer

P Answered by PhD

2

X^2 + 16x + ?
a^2 + 2ab + b
(a + b)^2 which is a perfect square.

To find b to determine the last value, you divide 16x by 2x.
so:
b = 8
the last value would be 8^2 which is 64.

Hence answer is C - 64

Mathematics

50 points: a chess competition has eliminations each round. the table below shows the number of players in each of the first 5 rounds of the tournament: round (x) 1 2 3 4 5 players f(x) 256 128 64 32 16 compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate. −60; on average, there was a loss of 60 each round −240; on average, there was a loss of 240 each round 4; there were 4 rounds between rounds 1 and 5 240; there were 240 fewer players between rounds 1 and 5

Step-by-step answer

P Answered by PhD

Round (x)1 2 3 4 5
Players f(x)256 128 64 32 16

16-256 / 5 - 1 = -240/4 = -60

A.) −60; on average, there was a loss of 60 each round.

Mathematics

Achess competition has eliminations each round. the table below shows the number of players in each of the first 5 rounds of the tournament: round (x) 1 2 3 4 5 players f(x) 256 128 64 32 16 compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate. −60; on average, there was a loss of 60 each round −240; on average, there was a loss of 240 each round 4; there were 4 rounds between rounds 1 and 5 240; there were 240 fewer players between rounds 1 and 5

Step-by-step answer

P Answered by Specialist

42

The average rate of change of f(x) from x =1 to x = 5 is
(16 - 256) / (5 -1) = -60
This means that on average, there was a loss of 60 each round

So, the answer is the first option.

Mathematics

50 points: a chess competition has eliminations each round. the table below shows the number of players in each of the first 5 rounds of the tournament: round (x) 1 2 3 4 5 players f(x) 256 128 64 32 16 compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate. −60; on average, there was a loss of 60 each round −240; on average, there was a loss of 240 each round 4; there were 4 rounds between rounds 1 and 5 240; there were 240 fewer players between rounds 1 and 5

Step-by-step answer

P Answered by PhD

Round (x)1 2 3 4 5
Players f(x)256 128 64 32 16

16-256 / 5 - 1 = -240/4 = -60

A.) −60; on average, there was a loss of 60 each round.

Mathematics

What values of c makes the polynomial below a perfect square? x^2+16x+c c= a. 64 b. 32 c. 4 d. 256

Step-by-step answer

P Answered by Specialist

19

To find the perfect square of an equation, you just take your "middle" term (in this case, 16), divide it by 2, then square it.

16/2 = 8
8^2 = 64

your perfect square is 64. you can check it really quick by trying to factor x^2 + 16x + 64 and seeing that it breaks down perfectly into (x + 8)(x + 8), which can be written as (x + 8)^2, showing that you have a binomial with a perfect square!!

Mathematics

99 point question, plus ! ( answer genuinely, and do not answer just for points, if you do, your answer will be deleted, and those points will be taken this is calculus not basic 4.) find the area of the region bounded by the graphs of the equations. f(x) = (16x)/((x^2)+1), y=0, 0 ≤ x ≤ 8 a • a = 8 ln (65) b • a = 8 ln (63) c • a = 65 ln (8) d • a = 63 ln (8) 6.) find the area of the region bounded by the graphs of the algebraic functions. f (x) = x^2 + 12x + 36 g(x) = 8(x + 6) a • a = 364/3 b • a = 128/3 c • a = 256/3 d • a = 512/3 ** show all

Step-by-step answer

P Answered by PhD

3

The first solution:
$\int\limits^8_0 {\frac{16x}{1+x^2}} \, dx=8log(65)$

The second solution:
$\int\limits^2_{-6}{(-36-12x-x^2+8(6+x))} \, dx=\frac{256}{3}$

Mathematics

99 point question, plus ! ( answer genuinely, and do not answer just for points, if you do, your answer will be deleted, and those points will be taken this is calculus not basic 4.) find the area of the region bounded by the graphs of the equations. f(x) = (16x)/((x^2)+1), y=0, 0 ≤ x ≤ 8 a • a = 8 ln (65) b • a = 8 ln (63) c • a = 65 ln (8) d • a = 63 ln (8) 6.) find the area of the region bounded by the graphs of the algebraic functions. f (x) = x^2 + 12x + 36 g(x) = 8(x + 6) a • a = 364/3 b • a = 128/3 c • a = 256/3 d • a = 512/3 ** show all

Step-by-step answer

P Answered by PhD

3

The first solution:
$\int\limits^8_0 {\frac{16x}{1+x^2}} \, dx=8log(65)$

The second solution:
$\int\limits^2_{-6}{(-36-12x-x^2+8(6+x))} \, dx=\frac{256}{3}$

free Ask question

Today we have helped

2 889 students

just now

Business

Don operates a taxi business, and this year one of his taxis was damaged in a traffic accident. The taxi was originally purchased for $15,500 and the adjusted basis was $1,050 at the time of the accident. The taxi was repaired at a cost of $2,975 and insurance reimbursed Don $757 of this cost. What is the amount of Don's casualty loss deduction

p Answered by PhD

just now

History

13. The eastern strip that Germany lost to Poland was referred to as the "Polish Corridor." Poland was given this area within the Treaty of Versailles so that it might have access to the sea. What
problems do you think this caused for the Germans of East Prussia?

p Answered by PhD

1 minute ago

English

1. How does Lemon Brown react when he first realizes Greg is in the old building? *

Lemon Brown offers Greg a bite of his bread,

Lemon Brown lectures Greg about entering old abandoned buildings alone.

O Lemon Brown threatens Greg with a razor.

O Lemon Brown watches Greg for an hour without Greg realizing it.

p Answered by PhD

1 minute ago

Mathematics

Marta practices the long jump. She jumps the same distance on her first four jumps. Her last two jumps are 1 1/2 feet longer than her first four jumps. Her average jumps distance is 16 feet. The equation below represents the situation, where j is the distance of each of Marta's first four jumps. 4j + 2(j+ 1.5)=16

6

What is the distance of each of Marta's first four jumps? show work plz.

p Answered by PhD

1 minute ago

Biology

You eat a candy bar. Your body breaks down this snack into its basic components, which includes sugar. In response to the sugar, the cells in the pancreas release a signal (insulin) to communicate with other body cells (muscle, liver, and fat cells) that this sugar should be stored for later use. Which of the following is acting as the target cell in the example above?
1.insulin
2.sugar
3.liver cells
4.pancreas cells

p Answered by PhD

Get help with homework

What is Studen

Studen helps you with homework in two ways:

Our base includes complete solutions from various experts

chat

Leave a question

Studen will automatically choose an expert for you.

directly

We have more than 5 000 verified experienced expert