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Popular >

simplify log_{5}(x^3y^6)

Solution

simplify

lo g_{5} (x^{3} y^{6})

Solution

3 lo g_{5} (x) + 6 lo g_{5} (y)

Solution steps

lo g_{5} (x^{3} y^{6})

Apply log rule:

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

lo g_{5} (x^{3} y^{6}) = lo g_{5} (x^{3}) + lo g_{5} (y^{6})

= lo g_{5} (x^{3}) + lo g_{5} (y^{6})

lo g_{5} (x^{3}) = 3 lo g_{5} (x)

lo g_{5} (y^{6}) = 6 lo g_{5} (y)

= 3 lo g_{5} (x) + 6 lo g_{5} (y)

Popular Examples

simplify log_{b}(z^7x)simplify

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

simplify log_{10}(c)-5log_{10}(k)simplify

lo g_{10} (c) - 5 lo g_{10} (k)

simplify ln(9/(2x^2y))simplify

ln (\frac{9}{2 x ^{2} y})

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

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

simplify 1/3 ln(x)+3ln(y)simplify

\frac{1}{3} ln (x) + 3 ln (y)

Frequently Asked Questions (FAQ)

What is log_{5}(x^3y^6) ?
The solution to log_{5}(x^3y^6) is 3log_{5}(x)+6log_{5}(y)