Expand: In (4a)^3 help please

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Bohdan Stupak asked Mar 14, 2023

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Expand: In (4a)^3
help please

Mathematics
high-school

Bohdan Stupak asked Mar 14, 2023

by Bohdan Stupak

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1 Answer

28 votes

Answer:

$3\ln 4 + 3 \ln a$

Explanation:

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

Kendall Hopkins answered Mar 20, 2023

by Kendall Hopkins

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