Use the laws of logarithms to write the following expression as a single logarithm : 5 log ( 64 − x^2 ) − ( log ( 8 + x ) + log ( 8−x ) ) = log ( ? )

Answer 1

Answer 2

general formula: loga + logb = logab

simple example: log10 + log100 = 1 +2 = 3 = log(10(100) = log1000 = 3

log(8-x) + log(8+x) = log(64-x^2)

5log(64-x^2) - log(64-x^2)

= 4log(64-x^2)

= log([64-x^2)^4]