13. Solve the following logarithmic equations: log_(4)x-log_(4)(x+2)=3

Combine logarithms: log₄(x/(x+2)) = 3<br /><br />Rewrite in exponential form: x/(x+2) = 4³ = 64<br /><br />Solve for x: x = 64(x+2) => x = 64x + 128 => -63x = 128 => x = -128/63<br />