Question

Solve the equation. log(x + 9) – log x = 3

Answer 1

ok... do you know about the log law for division...?

Answer 2

\[\log (\frac{a}{b} )= \log(a) - \log(b) \]

Answer 3

you also need to know about raising the log to a power of the base

\[a^{\log_{a}(x)} = x\]

and you appear to be working with base 10 logs

so

you have

\[\log(\frac{x + 9}{x} )= 3\]

raise them to the power of 10

so

\[\frac{x + 9}{x} = 10^3\]

now you can solve for x