Question

Solve the exponential equation below. Express your answer exactly (i.e. do not round), usingthe common log. You must show your work to receive credit.
3^(2) + 5 = 29

Answer 1

Step-by-step explanation:

$3 {}^{2x} + 5 = 29$

$3 {}^{2x} = 24$

$log_3{3 {}^{2x} } = log_{3}(24)$

$2x = log_{3}(24)$

$x = \frac{1}{2} log_{3}(24)$

or

$x = \frac{ log(24) }{2 log(3) }$