Question

I need help question

Answer 1

Exponential Equations

Solve for x:

`13=25(1.2)^x`

Dividing by 25:

`(13)/(25)=1.2^x`

Applying logs on both sides of the equation:

`log(13)/(25)=log1.2^x`

Applying the power property of logarithms:

`log(13)/(25)=xlog1.2`

Dividing by log 1.2:

`x=(log(13)/(25))/(log1.2)`

Calculating:

x = -3.587