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Rina8888 [55]
4 years ago
8

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

Mathematics
1 answer:
Crank4 years ago
6 0

Answer:

t = 10.2

Step-by-step 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

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