Let P = \log_8 3 and Q = \log_3 5. Express \log_{15} 72 in terms of P and Q. Your answer should no longer include any logarithms.
Express \log_{15} 72 in terms of P and Q.
\(P = \log_8 3\\ 8^{log_8\ 3}=3\\ 8^P=3\\ \color{blue}8=3^{\frac{1}{P}}\)
\(Q = \log_3 5\\ \color{blue}3=5^{\frac{1}{Q}}\)
\(x=\log_{15} 72\\ \color{blue}15=72^{\frac{1}{x}}\)
will be continued
I can't go any further. Sorry!
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+823 
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