Question

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

Answer 1

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