Question

Solve log(3x + 2) = 3.

Answer 1

" log(3x + 2) = 3."

is the same as saying"
\[10^{3} = 3x + 2\]

Answer 2

Do you know how to solve from there?

Answer 3

Promote both sides to powers of 10: \(10^{\log(3x+2)}=10^3\). Since we know \(10^{\log{x}}=x\), we can simplify the left-hand side \(3x+2=10^3=1000\), which should seem rather simple to solve for \(x\).

Answer 4

thanks!