Mathematics : asked on Qwerty2771

16.12.2020

Which of the following exponential is equivalent to the logarithmic equation below? logb x = a

A. X=a^b
B. X=ax^b
C. X=bx^a
D. X=b^a

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09.07.2023, solved by verified expert

Rajat Thapa

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Mathematics, DAV Post Graduate College

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Mathematics

Which of the following exponential is equivalent to the logarithmic equation below? logb x = a A. X=a^b B. X=ax^b C. X=bx^a D. X=b^a

Step-by-step answer

P Answered by Master

Step-by-step explanation:

$log_{b} \ x = a \\\\\\x = b^{a}$

Mathematics

Which exponential is equivalent to the logarithmic equation below? log 987 = a a-987^10=a b-a^10=987 c-10^a=987 d-987^a=10

Step-by-step answer

P Answered by PhD

A logarithmic function without a subscript means that it must be log base 10.

$\log_{10}987=a$

When learning about logarithms, a textbook/teacher provides their students with the following general equations

$\log_yx=z$

y^z=x

Hopefully you are familiar with this. Using the equations that I just showed, we can change the equation $\log_{10}987=a$ to 10^a=987

This would make answer choice C correct.

Mathematics

Which exponential is equivalent to the logarithmic equation below? log 987 = a a-987^10=a b-a^10=987 c-10^a=987 d-987^a=10

Step-by-step answer

P Answered by PhD

A logarithmic function without a subscript means that it must be log base 10.

$\log_{10}987=a$

When learning about logarithms, a textbook/teacher provides their students with the following general equations

$\log_yx=z$

y^z=x

Hopefully you are familiar with this. Using the equations that I just showed, we can change the equation $\log_{10}987=a$ to 10^a=987

This would make answer choice C correct.

Mathematics

Which exponential equation is equivalent to the logarithmic equation below? c= in 4 a.) e^c= 4 b.) 4^c = e c.) c^4= e d.) e^4 = c

Step-by-step answer

P Answered by PhD

Choice A) e^c = 4

In general if we had something like x = ln(y), then it is equivalent to e^x = y or y = e^x. The Ln is a natural log that is the inverse of the base e exponent. It's a special kind of log.

In this case, x = c and y = 4

So we go from c = ln(4) to e^c = 4

note: Logs are often used to solve for equations with variables in the exponent.

Mathematics

Which exponential function is equivalent to the logarithmic equation below: log 784=a

Step-by-step answer

P Answered by PhD

You have no exponential functions listed to choose from, but in this problem it is understood that the base of the log is 10 because it is not stated otherwise and a base of 10 is the "norm" for logs. So rewritten with that in mind, you have log base 10 (784)=a. In exponential form, that looks like this: 10^a=784. You could solve for a by typing in "log(784)" into your calculator to get that the exponent is equal to 2.894316063. If you raise 10 to that power you get 784.

Mathematics

Which exponential equation is equivalent to the logarithmic equation below? log 987=a a. 987^10=a b. 10^a=987 c. a^10=987 d. 987^a=10

Step-by-step answer

P Answered by PhD

10^a=982