Question

Solve the logarithmic equation. Express your solutions in exact form only. Please show all of your work. log 2 (x+8) - log2 (x-4) + log2 (x-5)=3

Answer 1

\[\log_{2}\frac{(x+8)(x-5)}{x-4}=3\]
\[\frac{(x+8)(x-5)}{x-4}=2^3\]

Answer 2

can you solve for x?

Answer 3

Idk how to do this thats why I need the answer.

Answer 4

well i've removed the logarithms, now its just a simple equation

Answer 5

multiply the right side by (x-4), then subtract the right side from the left side and solve the quadratic