Question Type 4: Finding logarithm given values for a and b Exercises

Solve for $x$: $\log_{3}(9x)=3$.

Solve for $x$: $\log_7(x)=2$.

Solve for $x$: $\log_{10}(x)=-1$.

Solve for $x$: $\log_3(x)-\log_3(2)=2$.

Solve for $x$: $\log_2(x)=5$.

Evaluate $\log_{10}(1000)$.

Simplify $\log_7(7^4)$.

Solve for $x$: $\log_{2}(16)+\log_{2}(x)=6$.

Evaluate $\log_5\left(\frac{1}{25}\right)$.

Evaluate $\log_{2}\left(\frac{1}{8}\right)$.

Evaluate $\log_3(27)$.

Solve for $x$: $\log_4(x)=\frac{3}{2}$.

Solve for $x$: $\log(x) + \log(2) = 3$, where $\log$ is base 10.

Evaluate $\log_4(64)$.

Evaluate $\log_2(8)$. [2 marks]