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Popular >

simplify log_{10}(zy^3)

Solution

simplify

lo g_{10} (z y^{3})

Solution

lo g_{10} (z) + 3 lo g_{10} (y)

Solution steps

lo g_{10} (z y^{3})

Apply log rule:

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

lo g_{10} (z y^{3}) = lo g_{10} (z) + lo g_{10} (y^{3})

= lo g_{10} (z) + lo g_{10} (y^{3})

Simplify

lo g_{10} (y^{3}) : 3 lo g_{10} (y)

= lo g_{10} (z) + 3 lo g_{10} (y)

Popular Examples

simplify log_{8}(t/(64))simplify

lo g_{8} (\frac{t}{64})

simplify log_{2}(x^2-1)-2log_{2}(x-1)simplify

lo g_{2} (x^{2} - 1) - 2 lo g_{2} (x - 1)

simplify log_{a}(mn^2)simplify

lo g_{a} (m n^{2})

expand log_{10}((3xyz^2)^3)expand

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

simplify ln((a^{-2}b^3)/(c^{-5)})simplify

ln (\frac{a ^{- 2} b ^{3}}{c ^{- 5}})

Frequently Asked Questions (FAQ)

What is log_{10}(zy^3) ?
The solution to log_{10}(zy^3) is log_{10}(z)+3log_{10}(y)