Expand: In (4a)^3 help please

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asked Oct 1, 2023 27.3k views

2 votes

Expand: In (4a)^3
help please

Mathematics
high-school

Roberg asked

by Roberg

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1 Answer

4 votes

Answer:

$3\ln 4 + 3 \ln a$

Explanation:

$\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a$

RagtimeWilly answered Oct 5, 2023

by RagtimeWilly

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