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

The solution to 1/4 log_{c}(x)+2log_{c}(y)-4log_{c}(x) is 2log_{c}(y)-15/4 log_{c}(x)

Popular >

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

simplify

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

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

Solution steps

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

Group like terms

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

Factor out common term

lo g_{c} (x)

= 2 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}

= 2 lo g_{c} (y) - lo g_{c} (x) \frac{15}{4}

= 2 lo g_{c} (y) - \frac{15}{4} lo g_{c} (x)

lo g_{4} (\frac{1}{16} x)

2 lo g_{10} (a) + 3 lo g_{10} (b)

lo g_{8} (x z^{3})

lo g_{10} (z) - lo g_{10} (13)

lo g_{6} (\frac{g}{36})

What is 1/4 log_{c}(x)+2log_{c}(y)-4log_{c}(x) ?
The solution to 1/4 log_{c}(x)+2log_{c}(y)-4log_{c}(x) is 2log_{c}(y)-15/4 log_{c}(x)