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Popular >

simplify log_{9}(a/(b^2))

Solution

simplify

lo g_{9} (\frac{a}{b ^{2}})

Solution

lo g_{9} (a) - lo g_{3} (b)

Solution steps

lo g_{9} (\frac{a}{b ^{2}})

Apply log rule:

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

lo g_{9} (\frac{a}{b ^{2}}) = lo g_{9} (a) - lo g_{9} (b^{2})

= lo g_{9} (a) - lo g_{9} (b^{2})

Simplify

lo g_{9} (b^{2}) : lo g_{3} (b)

= lo g_{9} (a) - lo g_{3} (b)

Popular Examples

simplify 3log_{10}(7)+log_{10}(2)simplify

3 lo g_{10} (7) + lo g_{10} (2)

simplify log_{7}(49x)simplify

lo g_{7} (49 x)

simplify 4(ln(5)-ln(x))+(4ln(x)-ln(25))simplify

4 (ln (5) - ln (x)) + (4 ln (x) - ln (25))

simplify log_{10}((3x^3)/y)simplify

lo g_{10} (\frac{3 x ^{3}}{y})

simplify 3log_{10}(8)+log_{10}(9)-log_{10}(36)simplify

3 lo g_{10} (8) + lo g_{10} (9) - lo g_{10} (36)

Frequently Asked Questions (FAQ)

What is log_{9}(a/(b^2)) ?
The solution to log_{9}(a/(b^2)) is log_{9}(a)-log_{3}(b)