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Popular >

simplify log_{2}(x/y)

Solution

simplify

lo g_{2} (\frac{x}{y})

Solution

lo g_{2} (x) - lo g_{2} (y)

Solution steps

lo g_{2} (\frac{x}{y})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (\frac{x}{y}) = lo g_{2} (x) - lo g_{2} (y)

= lo g_{2} (x) - lo g_{2} (y)

Popular Examples

simplify 1/3 log_{c}(x)+3log_{c}(y)-4log_{c}(x)simplify

\frac{1}{3} lo g_{c} (x) + 3 lo g_{c} (y) - 4 lo g_{c} (x)

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

lo g_{3} (x) + lo g_{3} (x + 2)

simplify log_{10}(a^2b^3)simplify

lo g_{10} (a^{2} b^{3})

simplify ln(3)-ln(4)simplify

ln (3) - ln (4)

simplify ln(x/(e^{3x)})simplify

ln (\frac{x}{e ^{3 x}})

Frequently Asked Questions (FAQ)

What is log_{2}(x/y) ?
The solution to log_{2}(x/y) is log_{2}(x)-log_{2}(y)