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Popular >

simplify log_{10}(y^8z)

Solution

simplify

lo g_{10} (y^{8} z)

Solution

8 lo g_{10} (y) + lo g_{10} (z)

Solution steps

lo g_{10} (y^{8} z)

Apply log rule:

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

lo g_{10} (y^{8} z) = lo g_{10} (y^{8}) + lo g_{10} (z)

= lo g_{10} (y^{8}) + lo g_{10} (z)

Simplify

lo g_{10} (y^{8}) : 8 lo g_{10} (y)

= 8 lo g_{10} (y) + lo g_{10} (z)

Popular Examples

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join 1/2*ln(3)join

\frac{1}{2} \cdot ln (3)

Frequently Asked Questions (FAQ)

What is log_{10}(y^8z) ?
The solution to log_{10}(y^8z) is 8log_{10}(y)+log_{10}(z)