What is 2log5(5x^3)+(1/3)log5((x^2)+6) written as a single logarithm?
Question
Answer:
assuming 5 is the base. I'm going to leave that out for now. 2log(5x^3) + (1/3)log(x^2+6)
power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))
log(25x^6) + log((x^2 + 6)^(1/3))
quotient rule
log(25x^6 / (x^2 + 6)^(1/3))
solved
general
5 months ago
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