Question

Given log a b = x, replace the variables a and b with integers of your choice

Answer 1

Show your work to solve the logarithm you created using the change of base formula

Answer 2

Without replacing them

\(\large \begin{align}
\log_ab&=x \\
a^x &= b~~\text{(Exponential form)}~~\\
\log a^x&=\log b ~~\text{(Take log of both side)}\\
~~x \log a &= \log b ~~ \text{(Logarithm Property)}\\
x &= \frac{\log b} {\log a}

\end{align}\)