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Popular >

simplify log_{3}(a/b)

Solution

simplify

lo g_{3} (\frac{a}{b})

Solution

lo g_{3} (a) - lo g_{3} (b)

Solution steps

lo g_{3} (\frac{a}{b})

Apply log rule:

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

lo g_{3} (\frac{a}{b}) = lo g_{3} (a) - lo g_{3} (b)

= lo g_{3} (a) - lo g_{3} (b)

Popular Examples

simplify log_{2}(15)+6log_{2}(x)-4/3 log_{2}(x)-1/3 log_{2}(x+3)simplify

lo g_{2} (15) + 6 lo g_{2} (x) - \frac{4}{3} lo g_{2} (x) - \frac{1}{3} lo g_{2} (x + 3)

simplify-log_{10}(2.3x10^{-9})simplify

- lo g_{10} (2.3 x 1 0^{- 9})

simplify ln(x^2-16)-ln(x+4)simplify

ln (x^{2} - 16) - ln (x + 4)

simplify log_{3}((7y)/z)simplify

lo g_{3} (\frac{7 y}{z})

simplify ln(2)+1/2 ln(25)simplify

ln (2) + \frac{1}{2} ln (25)

Frequently Asked Questions (FAQ)

What is log_{3}(a/b) ?
The solution to log_{3}(a/b) is log_{3}(a)-log_{3}(b)