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Popular >

simplify log_{4}(xz^3)

Solution

simplify

lo g_{4} (x z^{3})

Solution

lo g_{4} (x) + 3 lo g_{4} (z)

Solution steps

lo g_{4} (x z^{3})

Apply log rule:

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

lo g_{4} (x z^{3}) = lo g_{4} (x) + lo g_{4} (z^{3})

= lo g_{4} (x) + lo g_{4} (z^{3})

Simplify

lo g_{4} (z^{3}) : 3 lo g_{4} (z)

= lo g_{4} (x) + 3 lo g_{4} (z)

Popular Examples

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3 lo g_{10} (2 x)

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Frequently Asked Questions (FAQ)

What is log_{4}(xz^3) ?
The solution to log_{4}(xz^3) is log_{4}(x)+3log_{4}(z)