What is log_{2}((s^5)/(7t^2)) ?

The solution to log_{2}((s^5)/(7t^2)) is 5log_{2}(s)-log_{2}(7)-2log_{2}(t)

Popular >

simplify log_{2}((s^5)/(7t^2))

simplify

lo g_{2} (\frac{s ^{5}}{7 t ^{2}})

5 lo g_{2} (s) - lo g_{2} (7) - 2 lo g_{2} (t)

Solution steps

lo g_{2} (\frac{s ^{5}}{7 t ^{2}})

Apply log rule:

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

lo g_{2} (\frac{s ^{5}}{7 t ^{2}}) = lo g_{2} (s^{5}) - lo g_{2} (7 t^{2})

= lo g_{2} (s^{5}) - lo g_{2} (7 t^{2})

lo g_{2} (s^{5}) = 5 lo g_{2} (s)

lo g_{2} (7 t^{2}) = lo g_{2} (7) + 2 lo g_{2} (t)

= 5 lo g_{2} (s) - (lo g_{2} (7) + 2 lo g_{2} (t))

Apply the distributive law:

- (a + b) = - a - b

- (lo g_{2} (7) + 2 lo g_{2} (t)) = - lo g_{2} (7) - 2 lo g_{2} (t)

= 5 lo g_{2} (s) - lo g_{2} (7) - 2 lo g_{2} (t)

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

4 [lo g_{2} (k) - lo g_{2} (k - t)]

ln (28) 0.125 + ln (\frac{3}{5}) 0.6 - 49 ln (7 e^{3})

lo g_{4} (\frac{x - 2}{x ^{5}})

lo g_{10} (\frac{1 0 ^{2} \cdot 1000}{x ^{3} \cdot y ^{- 2}})

What is log_{2}((s^5)/(7t^2)) ?
The solution to log_{2}((s^5)/(7t^2)) is 5log_{2}(s)-log_{2}(7)-2log_{2}(t)