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Popular >

expand log_{6}(1/(z^3))

Solution

expand

lo g_{6} (\frac{1}{z ^{3}})

Solution

- 3 lo g_{6} (z)

Solution steps

lo g_{6} (\frac{1}{z ^{3}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{6} (\frac{1}{z ^{3}}) = lo g_{6} (1) - lo g_{6} (z^{3})

= lo g_{6} (1) - lo g_{6} (z^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{6} (z^{3}) = 3 lo g_{6} (z)

= lo g_{6} (1) - 3 lo g_{6} (z)

Apply log rule:

lo g_{a} (1) = 0

= 0 - 3 lo g_{6} (z)

0 - 3 lo g_{6} (z) = - 3 lo g_{6} (z)

= - 3 lo g_{6} (z)

Popular Examples

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e^{3 x} cosh (8 x^{3}) - lo g_{7} (9 x^{2})

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Frequently Asked Questions (FAQ)

What is expand log_{6}(1/(z^3)) ?
The solution to expand log_{6}(1/(z^3)) is -3log_{6}(z)