Question 936263: Please solve for t, 2=1.07^t
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! 2 = 1.07^t
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take the log base 1.07 of both sides:
logBase(1.07)of(2) = logBase(1.07)of(1.07^t)
logBase(1.07)of(2) = t
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use the Change-of-Base formula on the left side:
logBase(a)of(x) = logBase(10)of(x) / logBase(10)of(a)
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logBase(1.07)of(2) = t
logBase(10)of(2) / logBase(10)of(1.07) = t
0.301029995664 / 0.0293837776852 = t
10.2447683511 = t
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answer:
t = 10.2447683511
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