What is 1/4 log_{c}(x)+5log_{c}(y)-2log_{c}(x) ?

The solution to 1/4 log_{c}(x)+5log_{c}(y)-2log_{c}(x) is 5log_{c}(y)-7/4 log_{c}(x)

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simplify 1/4 log_{c}(x)+5log_{c}(y)-2log_{c}(x)

simplify

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 2 lo g_{c} (x)

5 lo g_{c} (y) - \frac{7}{4} lo g_{c} (x)

Solution steps

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 2 lo g_{c} (x)

Group like terms

= 5 lo g_{c} (y) - 2 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) (- 2 + \frac{1}{4})

Simplify

lo g_{c} (x) (- 2 + \frac{1}{4}) : - lo g_{c} (x) \frac{7}{4}

= 5 lo g_{c} (y) - lo g_{c} (x) \frac{7}{4}

= 5 lo g_{c} (y) - \frac{7}{4} lo g_{c} (x)

lo g_{2} (x^{2}) - 3 lo g_{2} ((x + 3)^{2})

lo g_{3} (y) + lo g_{3} (y + 8)

lo g_{10} (p (1 - p)^{x - 1})

2 lo g_{4} (x) + lo g_{4} (9)

- lo g_{10} (9.4 \cdot 1 0^{- 4})

What is 1/4 log_{c}(x)+5log_{c}(y)-2log_{c}(x) ?
The solution to 1/4 log_{c}(x)+5log_{c}(y)-2log_{c}(x) is 5log_{c}(y)-7/4 log_{c}(x)