Question

Please help asap! These two have been a struggle for me...

Answer 1

A

C

Explanation:

recall the following rule:

`n^x=y\\log_ny=x`

to solve the first one we have

`40(10^x)=15\\10^x=(15)/(40)\\x=log((15)/(40))`

This is equal to

`(log(15)/(40))/(log10)` or A

same deal for the second one

`10^x=(25)/(50)\\x=log{(25)/(50)=(log((25)/(50)))/(log10)` or C