What is expand log_{2}(x/((y+1)z)) ?

The solution to expand log_{2}(x/((y+1)z)) is log_{2}(x)-log_{2}(y+1)-log_{2}(z)

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expand log_{2}(x/((y+1)z))

expand

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

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

Solution steps

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

Apply log rule:

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

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

= lo g_{2} (x) - lo g_{2} (z (y + 1))

Apply log rule:

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

lo g_{2} ((y + 1) z) = lo g_{2} (y + 1) + lo g_{2} (z)

= lo g_{2} (x) - (lo g_{2} (y + 1) + lo g_{2} (z))

- (lo g_{2} (y + 1) + lo g_{2} (z)) : - lo g_{2} (y + 1) - lo g_{2} (z)

= lo g_{2} (x) - lo g_{2} (y + 1) - lo g_{2} (z)

ln (x) + 8 ln (y)

ln (2) + ln (8) - ln (4)

ln (\frac{110}{130})

lo g_{10} (\frac{x ^{5}}{( x + 6 ) ^{3}})

lo g_{6} (\frac{m}{n})

What is expand log_{2}(x/((y+1)z)) ?
The solution to expand log_{2}(x/((y+1)z)) is log_{2}(x)-log_{2}(y+1)-log_{2}(z)