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Popular >

simplify log_{5}(a^4b^2)

Solution

simplify

lo g_{5} (a^{4} b^{2})

Solution

4 lo g_{5} (a) + 2 lo g_{5} (b)

Solution steps

lo g_{5} (a^{4} b^{2})

Apply log rule:

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

lo g_{5} (a^{4} b^{2}) = lo g_{5} (a^{4}) + lo g_{5} (b^{2})

= lo g_{5} (a^{4}) + lo g_{5} (b^{2})

lo g_{5} (a^{4}) = 4 lo g_{5} (a)

lo g_{5} (b^{2}) = 2 lo g_{5} (b)

= 4 lo g_{5} (a) + 2 lo g_{5} (b)

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Frequently Asked Questions (FAQ)

What is log_{5}(a^4b^2) ?
The solution to log_{5}(a^4b^2) is 4log_{5}(a)+2log_{5}(b)