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Popular >

simplify log_{10}(xy^4)

Solution

simplify

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

Solution

lo g_{10} (x) + 4 lo g_{10} (y)

Solution steps

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

Apply log rule:

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

lo g_{10} (x y^{4}) = lo g_{10} (x) + lo g_{10} (y^{4})

= lo g_{10} (x) + lo g_{10} (y^{4})

Simplify

lo g_{10} (y^{4}) : 4 lo g_{10} (y)

= lo g_{10} (x) + 4 lo g_{10} (y)

Popular Examples

simplify log_{5}(7)+log_{5}(3)simplify

lo g_{5} (7) + lo g_{5} (3)

simplify 1/7 (log_{10}(x)-log_{10}(x+4))simplify

\frac{1}{7} (lo g_{10} (x) - lo g_{10} (x + 4))

simplify log_{10}(x+3)+log_{10}(x)simplify

lo g_{10} (x + 3) + lo g_{10} (x)

simplify ln(x^5(1-x)^3)simplify

ln (x^{5} (1 - x)^{3})

simplify-8/9 log_{2}(8/9)-1/9 log_{2}(1/9)simplify

- \frac{8}{9} lo g_{2} (\frac{8}{9}) - \frac{1}{9} lo g_{2} (\frac{1}{9})

Frequently Asked Questions (FAQ)

What is log_{10}(xy^4) ?
The solution to log_{10}(xy^4) is log_{10}(x)+4log_{10}(y)