Question

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

500(1.07)t = 1000

Answer 1

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