Question

Using natural log, solve for x.
2^x-4 = 5.

Answer 1

Can someone please show me the steps

Answer 2

Is it \(\large 2^{x-4} = 5\) ?

Answer 3

yes

Answer 4

\[
\large 2^{x-4} = 5 \\
\text{ } \\
\text{Take the natural logarithm on both sides: } \\
\text{ } \\
\ln(2^{x-4}) = \ln(5) \\ \large
(x-4)\ln(2) = \ln(5) \\
x - 4 = \frac{\ln(5)}{\ln(2)} \\
x = 4 + \frac{\ln(5)}{\ln(2)}
\]

Answer 5

thank you!