If $10000 = 5000(1.1^t)$, then what is $t$?

Question

$V = $ Value of computer, $t = $ years. A computer appreciates in value by 10% a year. If the computer costs 5000 when new find the value of $t$ when $V$ is 10000:

Rule for working out $V$: $$V = 5000(1.1^t)$$ So

$$10000 = 5000(1.1^t)$$ What is $t$?

Answer 1

I have: $1.1^t=\frac{10000}{5000}=2$. I obtain, in conclusion: $t=\log_{1.1}{2}$, about $7.27$.