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Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

500(1.07)t = 1000

User Sam Hughes
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1 Answer

3 votes

Answer:

t = 10.2

Explanation:

We have the following exponential equation.


500(1.07)^(t) =1000

We divide both sides by 500.


(1.07)^(t) =2

We apply logarithm to both sides.


log(1.07)^(t) =log2

We use the logarithm power rule.


t.log(1.07) =log2\\t= log2/log1.07

Finally, we solve for t.

t = 10.2

User PrakashT
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