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miv72 [106K]
3 years ago
13

Write the expressions without using log. Can someone please help with this?

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
\bf \textit{logarithm of factors}\\\\
log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\\\\\
\textit{Logarithm of rationals}\\\\
log_{{  a}}\left(  \frac{x}{y}\right)\implies log_{{  a}}(x)-log_{{  a}}(y)
\\\\\\
\textit{Logarithm of exponentials}\\\\
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\
-------------------------------

\bf log(m^3n)\implies log(m^3)+log(n)\implies 3log(m)+log(n)
\\\\\\
\boxed{3k+v}
\\\\\\
log\left(\cfrac{m}{n^3}  \right)\implies log(m)-log(n^3)\implies log(m)-3log(n)
\\\\\\
\boxed{k-3v}
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