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What is the approximate solution to the equation 3^t=29 ? a) 0.3263 b)3.0650 c) 3.3672 d) 9.6667

User Wenhao Ji
by
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1 Answer

6 votes

Answer:

b

Explanation:

using the law of logarithms

• log
x^(n) = nlogx

given
3^(t) = 29 ( take log of both sides, that is base 10 )

log
3^(t) = log 29, hence

tlog 3 = log29 (divide both sides by log 3 )

t =
(log29)/(log3) ≈ 3.0650 → b



User Albano
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