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Popular >

simplify log_{b}(x/y)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify 1/3 log_{10}(3x)+2/3 log_{10}(3x)simplify

\frac{1}{3} lo g_{10} (3 x) + \frac{2}{3} lo g_{10} (3 x)

simplify 4ln(x)+7ln(y)-3ln(z)simplify

4 ln (x) + 7 ln (y) - 3 ln (z)

simplify log_{10}((11x^3y)/(z+1))simplify

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

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

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

simplify log_{6}(xsqrt(y))simplify

lo g_{6} (x y)

Frequently Asked Questions (FAQ)

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