Question

simplify

log2 x - log4 (x+4)

Answer 1

[AI-generated answer — Bot GPT 3.5]

log2(x) - log4(x+4)

Use the change of base formula: loga(b) = logc(b) / logc(a)

log2(x) - log4(x+4)
= log(x) / log(2) - log(x + 4) / log(4)
= log(x) / log(2) - log(x + 4) / (log(2) * log(2))

Now combine the logs under a common base:

= log(x) / log(2) - (1/2)log(x + 4) / log(2)

= log(x) - (1/2)log(x + 4) / log(2)