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Popular >

simplify log_{10}(xy^5)

Solution

simplify

lo g_{10} (x y^{5})

Solution

lo g_{10} (x) + 5 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{5})

Apply log rule:

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

lo g_{10} (x y^{5}) = lo g_{10} (x) + lo g_{10} (y^{5})

= lo g_{10} (x) + lo g_{10} (y^{5})

Simplify

lo g_{10} (y^{5}) : 5 lo g_{10} (y)

= lo g_{10} (x) + 5 lo g_{10} (y)

Popular Examples

simplify log_{10}(x^5y^4)simplify

lo g_{10} (x^{5} y^{4})

simplify log_{5}((100)/(3x))simplify

lo g_{5} (\frac{100}{3 x})

simplify ln(((s^2+c^2)(s+a))/((s+b)(s^2-c^2)))simplify

ln (\frac{( s ^{2} + c ^{2} ) ( s + a )}{( s + b ) ( s ^{2} - c ^{2} )})

simplify 3.34678+log_{10}((0.01)/(0.2))simplify

3.34678 + lo g_{10} (\frac{0.01}{0.2})

simplify log_{6}((sqrt(f))/(36))simplify

lo g_{6} (\frac{f}{36})

Frequently Asked Questions (FAQ)

What is log_{10}(xy^5) ?
The solution to log_{10}(xy^5) is log_{10}(x)+5log_{10}(y)