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wel
3 years ago
10

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

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

b

Step-by-step 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 = \frac{log29}{log3} ≈ 3.0650 → b



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