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

The solution to 1/4 log_{c}(x)+5log_{c}(y)-4log_{c}(x) is 5log_{c}(y)-15/4 log_{c}(x)

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

simplify

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

5 lo g_{c} (y) - \frac{15}{4} lo g_{c} (x)

Solution steps

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

Group like terms

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

Simplify

lo g_{c} (x) (- 4 + \frac{1}{4}) : - lo g_{c} (x) \frac{15}{4}

= 5 lo g_{c} (y) - lo g_{c} (x) \frac{15}{4}

= 5 lo g_{c} (y) - \frac{15}{4} lo g_{c} (x)

ln (y \frac{y}{4 - y})

lo g_{9} (x + 3) + lo g_{9} (x - 5)

\frac{1}{2} ln (- 1)

lo g_{2} (5 x)

4 lo g_{10} (x) - \frac{1}{3} lo g_{10} (y)

What is 1/4 log_{c}(x)+5log_{c}(y)-4log_{c}(x) ?
The solution to 1/4 log_{c}(x)+5log_{c}(y)-4log_{c}(x) is 5log_{c}(y)-15/4 log_{c}(x)