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

The solution to 1/2 log_{c}(x)-5log_{c}(x)+2log_{c}(y) is -9/2 log_{c}(x)+2log_{c}(y)

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

simplify

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

- \frac{9}{2} lo g_{c} (x) + 2 lo g_{c} (y)

Solution steps

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

Factor out common term

lo g_{c} (x)

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

Simplify

lo g_{c} (x) (\frac{1}{2} - 5) : - lo g_{c} (x) \frac{9}{2}

= - lo g_{c} (x) \frac{9}{2} + 2 lo g_{c} (y)

= - \frac{9}{2} lo g_{c} (x) + 2 lo g_{c} (y)

- lo g_{10} (1.6673 \cdot 1 0^{- 5})

lo g_{10} (3 x + 1) - lo g_{10} (3 x^{(2)} - 5 x - 2)

2 ln (x^{2} - 1) - ln (x^{4} - 1)

ln (a + b) + 5 ln (a - b) - 4 ln (c)

lo g_{9} (v) + 6 lo g_{9} (w) + \frac{1}{2} lo g_{9} (u)

What is 1/2 log_{c}(x)-5log_{c}(x)+2log_{c}(y) ?
The solution to 1/2 log_{c}(x)-5log_{c}(x)+2log_{c}(y) is -9/2 log_{c}(x)+2log_{c}(y)