Question

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

Answer 1

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

`r=log(x)` 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