What is log_{3}((sqrt(5))/(q^2p)) ?

The solution to log_{3}((sqrt(5))/(q^2p)) is log_{3}(sqrt(5))-2log_{3}(q)-log_{3}(p)

Popular >

simplify log_{3}((sqrt(5))/(q^2p))

simplify

lo g_{3} (\frac{5}{q ^{2} p})

lo g_{3} (5) - 2 lo g_{3} (q) - lo g_{3} (p)

Solution steps

lo g_{3} (\frac{5}{q ^{2} p})

Apply log rule:

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

lo g_{3} (\frac{5}{q ^{2} p}) = lo g_{3} (5) - lo g_{3} (q^{2} p)

= lo g_{3} (5) - lo g_{3} (q^{2} p)

Simplify

lo g_{3} (q^{2} p) : 2 lo g_{3} (q) + lo g_{3} (p)

= lo g_{3} (5) - (2 lo g_{3} (q) + lo g_{3} (p))

Apply the distributive law:

- (a + b) = - a - b

- (2 lo g_{3} (q) + lo g_{3} (p)) = - 2 lo g_{3} (q) - lo g_{3} (p)

= lo g_{3} (5) - 2 lo g_{3} (q) - lo g_{3} (p)

lo g_{5} (\frac{a ^{8}}{b ^{7} c})

ln (2 e^{- 2 x})

ln (x) - 2 [ln (x + 2) + ln (x - 2)]

ln (\frac{x ^{2} - 1}{x ^{3}})

3 lo g_{b} (x) + 2 lo g_{b} (y) - \frac{1}{2} lo g_{b} (z)

What is log_{3}((sqrt(5))/(q^2p)) ?
The solution to log_{3}((sqrt(5))/(q^2p)) is log_{3}(sqrt(5))-2log_{3}(q)-log_{3}(p)