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

Explanation:

`3 {}^(2x) + 5 = 29`

`3 {}^(2x) = 24`

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

`2x = log_(3)(24)`

`x = (1)/(2) log_(3)(24)`

or

`x = ( log(24) )/(2 log(3) )`