Question

Solve the exponential equation. Express the solution in exact form (ie. no calculator) then express the solution in
approximate form to two decimal places. 1) 2x + 8= 5

Answer 1

$2^{x+8}=5$.

$ln2^{x+8}=ln5$.

$(x+8)ln2=ln5.$

$x=\frac{ln5}{ln2}-8$.

$x\approx-5.68.$