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Popular >

simplify log_{2}(xz^3)

Solution

simplify

lo g_{2} (x z^{3})

Solution

lo g_{2} (x) + 3 lo g_{2} (z)

Solution steps

lo g_{2} (x z^{3})

Apply log rule:

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

lo g_{2} (x z^{3}) = lo g_{2} (x) + lo g_{2} (z^{3})

= lo g_{2} (x) + lo g_{2} (z^{3})

Simplify

lo g_{2} (z^{3}) : 3 lo g_{2} (z)

= lo g_{2} (x) + 3 lo g_{2} (z)

Popular Examples

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ln (\frac{e ^{x} + e ^{- x}}{2})

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ln (z) - ln (a + 15) + ln (z - 5)

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lo g_{10} (3 y (5 y + 8))

expand log_{10}(((m^5)/n)^2)expand

lo g_{10} ((\frac{m ^{5}}{n})^{2})

Frequently Asked Questions (FAQ)

What is log_{2}(xz^3) ?
The solution to log_{2}(xz^3) is log_{2}(x)+3log_{2}(z)