What is 1/4 log_{c}(x)+5log_{c}(y)-3log_{c}(x) ?

The solution to 1/4 log_{c}(x)+5log_{c}(y)-3log_{c}(x) is 5log_{c}(y)-11/4 log_{c}(x)

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simplify 1/4 log_{c}(x)+5log_{c}(y)-3log_{c}(x)

simplify

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 3 lo g_{c} (x)

5 lo g_{c} (y) - \frac{11}{4} lo g_{c} (x)

Solution steps

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 3 lo g_{c} (x)

Group like terms

= 5 lo g_{c} (y) - 3 lo g_{c} (x) + \frac{1}{4} lo g_{c} (x)

Factor out common term

lo g_{c} (x)

= 5 lo g_{c} (y) + lo g_{c} (x) (- 3 + \frac{1}{4})

Simplify

lo g_{c} (x) (- 3 + \frac{1}{4}) : - lo g_{c} (x) \frac{11}{4}

= 5 lo g_{c} (y) - lo g_{c} (x) \frac{11}{4}

= 5 lo g_{c} (y) - \frac{11}{4} lo g_{c} (x)

lo g_{10} (\frac{x ^{2} y ^{3}}{z})

lo g_{a} (\frac{h k ^{5}}{m n ^{3}})

2 lo g_{2} (2 x)

ln (e^{3} y^{5})

lo g_{4} (12) + lo g_{4} (7)

What is 1/4 log_{c}(x)+5log_{c}(y)-3log_{c}(x) ?
The solution to 1/4 log_{c}(x)+5log_{c}(y)-3log_{c}(x) is 5log_{c}(y)-11/4 log_{c}(x)