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Popular >

simplify log_{x}(xsqrt(y))

Solution

simplify

lo g_{x} (x y)

Solution

1 + lo g_{x} (y)

Solution steps

lo g_{x} (x y)

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{x} (x) = 1

= 1 + lo g_{x} (y)

Popular Examples

expand log_{7}((2^3)/(5^2))expand

lo g_{7} (\frac{2 ^{3}}{5 ^{2}})

simplify-log_{10}(1.124*10^{-6})simplify

- lo g_{10} (1.124 \cdot 1 0^{- 6})

simplify 2log_{6}(x)+1/2 log_{6}(y)-2-7log_{6}(z)simplify

2 lo g_{6} (x) + \frac{1}{2} lo g_{6} (y) - 2 - 7 lo g_{6} (z)

simplify log_{2}(75)-2log_{2}(5)simplify

lo g_{2} (75) - 2 lo g_{2} (5)

simplify log_{10}((\sqrt[3]{xy})/(xy))simplify

Frequently Asked Questions (FAQ)

What is log_{x}(xsqrt(y)) ?
The solution to log_{x}(xsqrt(y)) is 1+log_{x}(sqrt(y))