Question

Exponential Equations
Solve 12^x-2=20
Round to the nearest ten-thousandth
x=__________

Answer 1

is it
\[\large 12^{x-2}=20\]?

Answer 2

yes

Answer 3

use the change of base formula
\[\large b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]

Answer 4

so what would the answer be?

Answer 5

whatever you get when you replace \(A\) by \(20\), \(b\) by \(12\) and \(x\)by \(x-2\) in the above change of base formula
you will need a calculator to compute the number as a decimal

Answer 6

ok i will plug it in, thank you

Answer 7

do you happen to have a calculator, im using a pelletty free one on the computer.