Final answer to the problem
$\log \left(\frac{7}{144}\right)$
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Step-by-step Solution
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1
Apply the formula: $a\log_{b}\left(x\right)$$=-\log_{b}\left(x^{\left|a\right|}\right)$, where $a=-2$, $b=10$ and $x=12$
$\log \left(7\right)-\log \left(12^{2}\right)$
Learn how to solve condenser les logarithmes problems step by step online.
$\log \left(7\right)-\log \left(12^{2}\right)$
Learn how to solve condenser les logarithmes problems step by step online. Condense the logarithmic expression log(7)-2log(12). Apply the formula: a\log_{b}\left(x\right)=-\log_{b}\left(x^{\left|a\right|}\right), where a=-2, b=10 and x=12. Apply the formula: a^b=a^b, where a=12, b=2 and a^b=12^{2}. Apply the formula: \log_{b}\left(x\right)-\log_{b}\left(y\right)=\log_{b}\left(\frac{x}{y}\right), where b=10, x=7 and y=144.
Final answer to the problem
$\log \left(\frac{7}{144}\right)$
Exact Numeric Answer
$-1.313264$
