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

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

Simplify $\log_7(7^4)$.

Evaluate $\log_2(8)$.

Evaluate $\log_3(27)$.

Evaluate $\log_{2}(\tfrac{1}{8})$.

Evaluate $\log_5\bigl(\tfrac{1}{25}\bigr)$.

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

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

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

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

Evaluate $\log_4(64)$.

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

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

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

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