Rewrite and simplify ln(4500) in terms of ln5 and ln6
Question
Answer:
[tex]\bf \textit{logarithm of factors}\\\\
log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)
\\\\\\
\textit{Logarithm of exponentials}\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-------------------------------\\\\
4500\implies 6\cdot 6\cdot 5\cdot 5\cdot 5\implies 6^2\cdot 5^3
\\\\\\
ln(4500)\implies ln(6^2\cdot 5^3)\implies ln(6^2)+ln(5^3)\implies 2ln(6)+3ln(5)[/tex]
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general
10 months ago
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