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Popular >

simplify log_{8}(a^3b^4)

Solution

simplify

lo g_{8} (a^{3} b^{4})

Solution

lo g_{2} (a) + 4 lo g_{8} (b)

Solution steps

lo g_{8} (a^{3} b^{4})

Apply log rule:

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

lo g_{8} (a^{3} b^{4}) = lo g_{8} (a^{3}) + lo g_{8} (b^{4})

= lo g_{8} (a^{3}) + lo g_{8} (b^{4})

lo g_{8} (a^{3}) = lo g_{2} (a)

lo g_{8} (b^{4}) = 4 lo g_{8} (b)

= lo g_{2} (a) + 4 lo g_{8} (b)

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Frequently Asked Questions (FAQ)

What is log_{8}(a^3b^4) ?
The solution to log_{8}(a^3b^4) is log_{2}(a)+4log_{8}(b)