Mathematics: What is x when the Richter scale rating is 7.6?

What is x when the Richter scale rating is 7.6?, №13981224, 13.03.2023 21:56

Mathematics

An earthquake with a rating of 3.3 is not usually felt. R= log x What is the value of x when the Richter scale rating is 3.3? Round your answer to the nearest hundredth. R = rating of the earthquake s size on the Richter scale Enter the correct answer. - x = ratio of earthquake intensity to a minimum level of intensity DONE DO 1) Substitute known values into the equation 2) Raise each side of the equation as the power of the base of the log. 3) Simplify using the property. exit

Step-by-step answer

P Answered by PhD

1

1995.26

Step-by-step explanation:

It usually works to follow instructions:

3.3 = log(x) . . . . . substitute known values into the equation

10^3.3 = x . . . . . take antilogs

1995.26 = x . . . . simplify, round to hundredths

Mathematics

What is the value of x when the richter scale rating is 7.9 round your answer to the nearest r=log x r=rating of the earthquakes size on the richter scale x=ratio of earthquake intensity to a minimum level of intensity

Step-by-step answer

P Answered by Master

6

If no base is stated, then assume base 10
$log(x)=log_{10}(x)$
rememer
a=log_b(c)

translates to b^a=c

so

or
$r=log_{10}(x)$ translates to 10^r=x

so when r=7.9, what is x
10^r=x

$10^{7.9}=x$
79432823.472428=x
round to nearest ???
thousanth? 79432823.472=x
hundreth? 79432823.47=x
tenth? 79432823.5=x

Mathematics

An earthquake with a rating of 7.9 is known to be a great earthquake that can cause damage that extends several hundred kilometers. R=log x. R=rating of the earthquake’s size on the Richter scale. X=ratio of the earthquake intensity to a minimum level of intensity. 1) substitute known values into the equation. 2) raise each side of the equation as the power of the base of the log. 3) simply using the property. Also round to the nearest hundredth. What is the value of x when the Richter scale rating is 7.9? Round your answer to the nearest hundredth

Step-by-step answer

P Answered by PhD

1

Given expression is :

R = log x.

Here, R = rating of the earthquake’s size on the Richter scale.

X=ratio of the earthquake intensity to a minimum level of intensity.

1) Now given that R = 7.9

Thus, substituting in the given expression,

7.9 = log x

2) Converting the logarithmic expression into exponential expression :

10^(7.9) = x

3) Thus, using the property,

79432823.47 = x

Thus, the value of x when the Richter scale rating is 7.9 is 79432823.47.

Mathematics

An earthquake with a rating of 3.3 is not usually felt. R= log x What is the value of x when the Richter scale rating is 3.3? Round your answer to the nearest hundredth. R = rating of the earthquake s size on the Richter scale Enter the correct answer. - x = ratio of earthquake intensity to a minimum level of intensity DONE DO 1) Substitute known values into the equation 2) Raise each side of the equation as the power of the base of the log. 3) Simplify using the property. exit

Step-by-step answer

P Answered by PhD

1

1995.26

Step-by-step explanation:

It usually works to follow instructions:

3.3 = log(x) . . . . . substitute known values into the equation

10^3.3 = x . . . . . take antilogs

1995.26 = x . . . . simplify, round to hundredths

Mathematics

What is the value of x when the richter scale rating is 7.9 round your answer to the nearest r=log x r=rating of the earthquakes size on the richter scale x=ratio of earthquake intensity to a minimum level of intensity

Step-by-step answer

P Answered by Specialist

6

If no base is stated, then assume base 10
$log(x)=log_{10}(x)$
rememer
a=log_b(c)

translates to b^a=c

so

or
$r=log_{10}(x)$ translates to 10^r=x

so when r=7.9, what is x
10^r=x

$10^{7.9}=x$
79432823.472428=x
round to nearest ???
thousanth? 79432823.472=x
hundreth? 79432823.47=x
tenth? 79432823.5=x

Mathematics

What is the value of x when the richter scale rating is 4.1? round to nearest r=log x

Step-by-step answer

P Answered by PhD

2

$\bf R=log(x)\implies R=log_{10}(x)\qquad \boxed{R=4.1}\qquad 4.1=log_{10}(x)\\\\
-------------------------------\\\\
\textit{Logarithm Cancellation Rules}\\\\
log_{{ a}}{{ a}}^x\implies x\qquad \qquad 
\boxed{{{ a}}^{log_{{ a}}x}=x}\\\\
-------------------------------\\\\
thus\qquad 10^{4.1}=10^{log_{10}(x)}\implies 10^{4.1}=x$