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Popular >

simplify log_{b}(z^7x)

Solution

simplify

lo g_{b} (z^{7} x)

Solution

7 lo g_{b} (z) + lo g_{b} (x)

Solution steps

lo g_{b} (z^{7} x)

Apply log rule:

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

lo g_{b} (z^{7} x) = lo g_{b} (z^{7}) + lo g_{b} (x)

= lo g_{b} (z^{7}) + lo g_{b} (x)

Simplify

lo g_{b} (z^{7}) : 7 lo g_{b} (z)

= 7 lo g_{b} (z) + lo g_{b} (x)

Popular Examples

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lo g_{10} (c) - 5 lo g_{10} (k)

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ln (\frac{9}{2 x ^{2} y})

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lo g_{10} (x) + 2 lo g_{10} (y) - 3 lo g_{10} (z)

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\frac{1}{3} ln (x) + 3 ln (y)

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lo g_{6} (x) + lo g_{6} (y) + 6 lo g_{6} (z)

Frequently Asked Questions (FAQ)

What is log_{b}(z^7x) ?
The solution to log_{b}(z^7x) is 7log_{b}(z)+log_{b}(x)