Final answer to the problem
$\log_{12}\left(2\right)+\log_{12}\left(5\right)+\log_{12}\left(11\right)$
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Step-by-step Solution
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Decompose $110$ in it's prime factors
$\log_{12}\left(2\cdot 5\cdot 11\right)$
Learn how to solve expanding logarithms problems step by step online.
$\log_{12}\left(2\cdot 5\cdot 11\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log12(110). Decompose 110 in it's prime factors. Use the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right), where M=2 and N=5\cdot 11. Use the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right), where M=5 and N=11.
Final answer to the problem
$\log_{12}\left(2\right)+\log_{12}\left(5\right)+\log_{12}\left(11\right)$
Exact Numeric Answer
$1.891612$