Question

Solve the equation below for x. Round your answer to the nearest thousandth:

10=3^(x+5) -2

A. 5.442
B. -4.558
C. -2.738
D. 2.262

Answer 1

\[3^{x+5}=12\]
\[x+5=\frac{\ln(12)}{\ln(3)}\]
\[x=\frac{\ln(12)}{\ln(5)}-5\]

Answer 2

typo on last one
\[x=\frac{\ln(12)}{\ln(3)}-5\]