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Which expression is equivalent to log 36 base 4? P = (log 36 base 10)/(log 4 base 10). Q = (log 4 base 10)/(log 36 base 10). R = (log 9 base 10)/(log 4 base 10). S = (log 4 base 10)/(log 9 base 10)Question 39Answera.Sb.Qc.Pd.R

Question

Which expression is equivalent to log 36 base 4? P = (log 36 base 10)/(log 4 base 10). Q = (log 4 base 10)/(log 36 base 10). R = (log 9 base 10)/(log 4 base 10). S = (log 4 base 10)/(log 9 base 10)Question 39Answera.Sb.Qc.Pd.R

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Solution

The correct answer is c. P. This is because of the change of base formula in logarithms, which states that log_b(a) can be written as log_c(a)/log_c(b), where c is the new base. In this case, the expression log 36 base 4 is equivalent to (log 36 base 10)/(log 4 base 10), which is option P.

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