Question

How do you solve `3log_10 x+1 = 13`?

Answer 1

`x=10^4`

Explanation:

`3log_{10}x+1=log_{10}x^3+log_{10}10=13=log_{10}10^{13}`
or equivalently
`log_{10}(10*x^3) = log_{10}10^{13}`
or equivalently
`10*x^3=10^{13}`
concluding that
`x^3 = 10^{12}->x=10^4`