torriannaheard48 torriannaheard48
  • 31-05-2022
  • Mathematics
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What is 5log3+log4 as a single logarithm?

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loneguy
loneguy loneguy
  • 31-05-2022

[tex]~~~5 \log 3 + \log4 \\\\=\log 3^5 + \log 4~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log(3^5 \cdot 4)~~~~~~~~~~~~~~~~~~~~~~;[\log_b(mn) = \log_b m + \log_b n]\\\\=\log(972)[/tex]

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