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Popular >

simplify log_{b}(a/c)

Solution

simplify

lo g_{b} (\frac{a}{c})

Solution

lo g_{b} (a) - lo g_{b} (c)

Solution steps

lo g_{b} (\frac{a}{c})

Apply log rule:

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

lo g_{b} (\frac{a}{c}) = lo g_{b} (a) - lo g_{b} (c)

= lo g_{b} (a) - lo g_{b} (c)

Popular Examples

simplify f(x)log_{3}(x-1)+log_{3}(2x)+3 simplify

f (x) lo g_{3} (x - 1) + lo g_{3} (2 x) + 3

join (ln(344611/167555))/(4ln(10))join

\frac{ln ( \frac{344611}{167555} )}{4 ln ( 10 )}

simplify log_{10}((214)/(2.2))+2.5 simplify

lo g_{10} (\frac{214}{2.2}) + 2.5

simplify log_{3}(7/x)simplify

lo g_{3} (\frac{7}{x})

simplify ln((z^9)/(sqrt(xy)))simplify

ln (\frac{z ^{9}}{x y})

Frequently Asked Questions (FAQ)

What is log_{b}(a/c) ?
The solution to log_{b}(a/c) is log_{b}(a)-log_{b}(c)