What is expand log_{2}(x/(yz)) ?

The solution to expand log_{2}(x/(yz)) is log_{2}(x)-log_{2}(y)-log_{2}(z)

Popular >

expand log_{2}(x/(yz))

expand

lo g_{2} (\frac{x}{yz})

lo g_{2} (x) - lo g_{2} (y) - lo g_{2} (z)

Solution steps

lo g_{2} (\frac{x}{yz})

Apply log rule:

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

lo g_{2} (\frac{x}{yz}) = lo g_{2} (x) - lo g_{2} (yz)

= lo g_{2} (x) - lo g_{2} (yz)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} (yz) = lo g_{2} (y) + lo g_{2} (z)

= lo g_{2} (x) - (lo g_{2} (y) + lo g_{2} (z))

- (lo g_{2} (y) + lo g_{2} (z)) : - lo g_{2} (y) - lo g_{2} (z)

= lo g_{2} (x) - lo g_{2} (y) - lo g_{2} (z)

5 lo g_{10} (3) + 2 lo g_{10} (x)

ln (\frac{400}{369})

5 ln (x - 2) - ln (x + 2) - 3 ln (x)

ln (e^{i 0}) - ln (3 e^{i 0} + 4)

12 ln (x) - 14 ln (\frac{1}{y}) - 13 ln (x y)

What is expand log_{2}(x/(yz)) ?
The solution to expand log_{2}(x/(yz)) is log_{2}(x)-log_{2}(y)-log_{2}(z)