Question: Suppose , , , and are arbitrary positive constants. Using the identities = , [distributive law for exponents] log10 = , [definition of log, i.e.,

Suppose , , , and are arbitrary positive constants. Using the identities = , [distributive law for exponents] log10 = , [definition of log, i.e., inverse of exponential function] show that, for any positive constants and , log( ) = log() + log(). (Hint: write and as = 10 and = 10 , where you must determine what and are)

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