What is log_{2}(225)-log_{2}(5)+log_{2}(3) ?

The solution to log_{2}(225)-log_{2}(5)+log_{2}(3) is log_{2}(135)

Popular >

simplify log_{2}(225)-log_{2}(5)+log_{2}(3)

simplify

lo g_{2} (225) - lo g_{2} (5) + lo g_{2} (3)

lo g_{2} (135)

Decimal Notation

7.07681 \dots

Solution steps

lo g_{2} (225) - lo g_{2} (5) + lo g_{2} (3)

Apply log rule:

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

lo g_{2} (225) - lo g_{2} (5) = lo g_{2} (\frac{225}{5})

= lo g_{2} (\frac{225}{5}) + lo g_{2} (3)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{2} (\frac{225}{5}) + lo g_{2} (3) = lo g_{2} (\frac{225}{5} \cdot 3)

= lo g_{2} (\frac{225}{5} \cdot 3)

\frac{225}{5} \cdot 3 = 135

= lo g_{2} (135)

lo g_{3} (x^{2}) + lo g_{3} (25)

3 lo g_{10} (7 x) - 4 lo g_{10} (7 y)

lo g_{2} (\frac{1}{m})

ln (\frac{2}{11})

ln (\frac{2 x ^{3} + 6}{3 x + 4})

What is log_{2}(225)-log_{2}(5)+log_{2}(3) ?
The solution to log_{2}(225)-log_{2}(5)+log_{2}(3) is log_{2}(135)