What is 1/2 log_{a}(sqrt(x))-2log_{a}(x) ?

The solution to 1/2 log_{a}(sqrt(x))-2log_{a}(x) is (log_{a}(sqrt(x)))/2-2log_{a}(x)

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simplify 1/2 log_{a}(sqrt(x))-2log_{a}(x)

simplify

\frac{1}{2} lo g_{a} (x) - 2 lo g_{a} (x)

\frac{lo g _{a} ( x )}{2} - 2 lo g_{a} (x)

Solution steps

\frac{1}{2} lo g_{a} (x) - 2 lo g_{a} (x)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

\frac{1}{2} lo g_{a} (x) = \frac{1 \cdot lo g _{a} ( x )}{2}

= \frac{1 \cdot lo g _{a} ( x )}{2} - 2 lo g_{a} (x)

Apply rule:

1 \cdot a = a

1 \cdot lo g_{a} (x) = lo g_{a} (x)

= \frac{lo g _{a} ( x )}{2} - 2 lo g_{a} (x)

- ln (n + 1) + ln (n - 1)

\frac{1}{2} ln (\frac{∣ x - 1 ∣}{∣ x + 1 ∣}) + C

ln (\frac{x + 13}{( x - 4 ) ^{3} 2 x + 1})

ln (\frac{1.2}{1.5})

- ln (60 - X) + ln (150 - X)

What is 1/2 log_{a}(sqrt(x))-2log_{a}(x) ?
The solution to 1/2 log_{a}(sqrt(x))-2log_{a}(x) is (log_{a}(sqrt(x)))/2-2log_{a}(x)