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Popular >

simplify log_{b}(y^7z)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

Popular Examples

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3 lo g_{b} (m + 2) + \frac{1}{2} lo g_{b} (m)

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simplify 1/2 (log_{2}(x)+log_{2}(y))simplify

\frac{1}{2} (lo g_{2} (x) + lo g_{2} (y))

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simplify ln(53/2)simplify

ln (\frac{53}{2})

Frequently Asked Questions (FAQ)

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