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Popular >

expand log_{g}(1/(g^3))

Solution

expand

lo g_{g} (\frac{1}{g ^{3}})

Solution

- 3

Solution steps

lo g_{g} (\frac{1}{g ^{3}})

Apply log rule:

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

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

= lo g_{g} (1) - lo g_{g} (g^{3})

Apply log rule:

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

lo g_{g} (g^{3}) = 3 lo g_{g} (g)

= lo g_{g} (1) - 3 lo g_{g} (g)

lo g_{g} (1) = 0

3 lo g_{g} (g) = 3

= 0 - 3

Simplify

= - 3

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Frequently Asked Questions (FAQ)

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