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Decompose $12$ in it's prime factors
Learn how to solve expanding logarithms problems step by step online.
$\log_{9}\left(2^{2}\cdot 3\right)+\log_{9}\left(\frac{2187}{4}\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log9(12)+log9(546.75). Decompose 12 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^{2} and N=3. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).