Question

Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2)?
StartFraction log (x + 2) Over log 4 EndFraction
StartFraction log 4 Over log (x + 2) EndFraction
StartFraction log 4 Over log x + 2 EndFraction
StartFraction log x + 2 Over log 4 EndFraction

Answer 1

Using the change of base formula log_b(a) = log(a)/log(b),

log_4(x + 2) = log(x + 2) / log 4.

So the correct choice is: StartFraction log (x + 2) Over log 4 EndFraction.