Answer:
t = 10.2
Step-by-step explanation:
We have the following exponential equation.
[tex]500(1.07)^{t} =1000[/tex]
We divide both sides by 500.
[tex](1.07)^{t} =2[/tex]
We apply logarithm to both sides.
[tex]log(1.07)^{t} =log2[/tex]
We use the logarithm power rule.
[tex]t.log(1.07) =log2\\t= log2/log1.07[/tex]
Finally, we solve for t.
t = 10.2
