Q.Solve for $x$: $\log_2(x+1) = 3$.

Convert to exponential form first, then solve the resulting simple equation for $x$.

Convert the logarithmic equation to exponential form:

Evaluate $2^3=8$:

$x+1=8 \ \Rightarrow\ x=7$ …

Solving $x=2^3-1$ incorrectly by subtracting 1 before cubing (wrongly computing $(2-1)^3=1$), instead of first evaluating $2^3=8$ and THEN …