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Popular >

simplify log_{2}(3a^4)

Solution

simplify

lo g_{2} (3 a^{4})

Solution

lo g_{2} (3) + 4 lo g_{2} (a)

Solution steps

lo g_{2} (3 a^{4})

Apply log rule:

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

lo g_{2} (3 a^{4}) = lo g_{2} (3) + lo g_{2} (a^{4})

= lo g_{2} (3) + lo g_{2} (a^{4})

Simplify

lo g_{2} (a^{4}) : 4 lo g_{2} (a)

= lo g_{2} (3) + 4 lo g_{2} (a)

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Frequently Asked Questions (FAQ)

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