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Popular >

simplify log_{10}(zy^7)

Solution

simplify

lo g_{10} (z y^{7})

Solution

lo g_{10} (z) + 7 lo g_{10} (y)

Solution steps

lo g_{10} (z y^{7})

Apply log rule:

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

lo g_{10} (z y^{7}) = lo g_{10} (z) + lo g_{10} (y^{7})

= lo g_{10} (z) + lo g_{10} (y^{7})

Simplify

lo g_{10} (y^{7}) : 7 lo g_{10} (y)

= lo g_{10} (z) + 7 lo g_{10} (y)

Popular Examples

simplify log_{3}((sqrt(y))/(27))simplify

lo g_{3} (\frac{y}{27})

simplify log_{6}(q/(12))simplify

lo g_{6} (\frac{q}{12})

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lo g_{e} (3 e)

simplify ln(2/10)simplify

ln (\frac{2}{10})

simplify log_{1/3}(x)+log_{1/3}(x+2)simplify

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

Frequently Asked Questions (FAQ)

What is log_{10}(zy^7) ?
The solution to log_{10}(zy^7) is log_{10}(z)+7log_{10}(y)