failinglolUGH failinglolUGH
  • 08-06-2022
  • Mathematics
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Expand: In (4a)^3
help please

Expand In 4a3 help please class=

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loneguy
loneguy loneguy
  • 08-06-2022

Answer:

[tex]3\ln 4 + 3 \ln a[/tex]

Step-by-step explanation:

[tex]\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[/tex]

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