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Decompose $64$ in it's prime factors
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$\log_{\sqrt{2}}\left(2^{6}\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log2^0.5(64). Decompose 64 in it's prime factors. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Calculate the square root of 2. Evaluating the logarithm of base \sqrt{2} of 2.