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Popular >

simplify log_{10}(3*10^x)

Solution

simplify

lo g_{10} (3 \cdot 1 0^{x})

Solution

lo g_{10} (3) + x

Solution steps

lo g_{10} (3 \cdot 1 0^{x})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (3 \cdot 1 0^{x}) = lo g_{10} (3) + lo g_{10} (1 0^{x})

= lo g_{10} (3) + lo g_{10} (1 0^{x})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{x}) = x

= lo g_{10} (3) + x

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Frequently Asked Questions (FAQ)

What is log_{10}(3*10^x) ?
The solution to log_{10}(3*10^x) is log_{10}(3)+x