Problem

Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive.
\[
\log (\mathrm{x})+\log (15 \mathrm{z})
\]

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Answer

The condensed form of the expression is \(\boxed{\log (15xz)}\)

Steps

Step 1 :The properties of logarithms state that the sum of two logarithms with the same base can be written as a single logarithm with the base and the product of the arguments of the original logarithms as its argument. Therefore, we can combine the two terms in the expression into a single logarithm.

Step 2 :The condensed form of the expression is \(\boxed{\log (15xz)}\)

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