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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

1 Answer

5 votes

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) )

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