What is expand log_{5}((y^4)/(3x)) ?

The solution to expand log_{5}((y^4)/(3x)) is 4log_{5}(y)-log_{5}(3)-log_{5}(x)

Popular >

expand log_{5}((y^4)/(3x))

expand

lo g_{5} (\frac{y ^{4}}{3 x})

4 lo g_{5} (y) - lo g_{5} (3) - lo g_{5} (x)

Solution steps

lo g_{5} (\frac{y ^{4}}{3 x})

Apply log rule:

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

lo g_{5} (\frac{y ^{4}}{3 x}) = lo g_{5} (y^{4}) - lo g_{5} (3 x)

= lo g_{5} (y^{4}) - lo g_{5} (3 x)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{5} (y^{4}) = 4 lo g_{5} (y)

= 4 lo g_{5} (y) - lo g_{5} (3 x)

Apply log rule:

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

lo g_{5} (3 x) = lo g_{5} (3) + lo g_{5} (x)

= 4 lo g_{5} (y) - (lo g_{5} (x) + lo g_{5} (3))

- (lo g_{5} (3) + lo g_{5} (x)) : - lo g_{5} (3) - lo g_{5} (x)

= 4 lo g_{5} (y) - lo g_{5} (3) - lo g_{5} (x)

ln (\frac{e ^{- c} ( 1 + c )}{c ^{2}})

lo g_{10} (\frac{z ^{5} y ^{4}}{x ^{5}})

lo g_{2} (x) + 8 lo g_{2} (y)

- lo g_{10} (2.5 \cdot 1 0^{- 11})

\frac{1}{2} ln (4) - 4 ln (5 d)

What is expand log_{5}((y^4)/(3x)) ?
The solution to expand log_{5}((y^4)/(3x)) is 4log_{5}(y)-log_{5}(3)-log_{5}(x)