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Popular >

simplify log_{10}(zy^6)

Solution

simplify

lo g_{10} (z y^{6})

Solution

lo g_{10} (z) + 6 lo g_{10} (y)

Solution steps

lo g_{10} (z y^{6})

Apply log rule:

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

lo g_{10} (z y^{6}) = lo g_{10} (z) + lo g_{10} (y^{6})

= lo g_{10} (z) + lo g_{10} (y^{6})

Simplify

lo g_{10} (y^{6}) : 6 lo g_{10} (y)

= lo g_{10} (z) + 6 lo g_{10} (y)

Popular Examples

simplify 2log_{10}(3x)-log_{10}(x+1)-3log_{10}(x)simplify

2 lo g_{10} (3 x) - lo g_{10} (x + 1) - 3 lo g_{10} (x)

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expand log_{2}(3x^4)expand

lo g_{2} (3 x^{4})

simplify-log_{10}(3\times 10^{-5})simplify

- lo g_{10} (3 \times 1 0^{- 5})

Frequently Asked Questions (FAQ)

What is log_{10}(zy^6) ?
The solution to log_{10}(zy^6) is log_{10}(z)+6log_{10}(y)