simplify log(3,9x)-log(3,3) — step-by-step solution

Let's reduce:

\log (3, 9 x) - \log (3, 3)

ℹ

\log (3, 9 x)

\frac{\ln (9 x)}{\ln (3)}

‖

- \log (3, 3)

- \frac{\ln (3)}{\ln (3)}

\frac{\ln (9 x)}{\ln (3)} - \frac{\ln (3)}{\ln (3)}

\frac{\ln (9 x) - \ln (3)}{\ln (3)}

ℹ

\ln (9 x) - \ln (3)

\ln (\frac{9 x}{3})

\frac{\ln (\frac{9 x}{3})}{\ln (3)}

▷Answer: $\frac{\ln (3 x)}{\ln (3)}$