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Popular >

simplify log_{10}(100*a)

Solution

simplify

lo g_{10} (100 \cdot a)

Solution

2 + lo g_{10} (a)

Solution steps

lo g_{10} (100 a)

Factor the number:

100 = 1 0^{2}

= lo g_{10} (1 0^{2} a)

Apply log rule:

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

lo g_{10} (1 0^{2} a) = lo g_{10} (1 0^{2}) + lo g_{10} (a)

= lo g_{10} (1 0^{2}) + lo g_{10} (a)

Apply log rule:

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

lo g_{10} (1 0^{2}) = 2

= 2 + lo g_{10} (a)

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Frequently Asked Questions (FAQ)

What is log_{10}(100*a) ?
The solution to log_{10}(100*a) is 2+log_{10}(a)