What is 1/4 [5log_{10}(x)+log_{10}(y)] ?

The solution to 1/4 [5log_{10}(x)+log_{10}(y)] is (5log_{10}(x)+log_{10}(y))/4

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simplify 1/4 [5log_{10}(x)+log_{10}(y)]

simplify

\frac{1}{4} [5 lo g_{10} (x) + lo g_{10} (y)]

\frac{5 lo g _{10} ( x ) + lo g _{10} ( y )}{4}

Solution steps

\frac{1}{4} (5 lo g_{10} (x) + lo g_{10} (y))

Apply the distributive law:

a (b + c) = ab + a c

\frac{1}{4} (5 lo g_{10} (x) + lo g_{10} (y)) = \frac{1}{4} \cdot 5 lo g_{10} (x) + \frac{1}{4} lo g_{10} (y)

= \frac{1}{4} \cdot 5 lo g_{10} (x) + \frac{1}{4} lo g_{10} (y)

Simplify

\frac{1}{4} \cdot 5 lo g_{10} (x) + \frac{1}{4} lo g_{10} (y) : \frac{5 lo g _{10} ( x ) + lo g _{10} ( y )}{4}

= \frac{5 lo g _{10} ( x ) + lo g _{10} ( y )}{4}

lo g_{z} (5 z (z - 5)^{5})

lo g_{8} (\frac{( ab ) ^{3}}{c ^{5}})

lo g_{3} (\frac{x x - 1}{2})

lo g_{10} (23 c d)

What is 1/4 [5log_{10}(x)+log_{10}(y)] ?
The solution to 1/4 [5log_{10}(x)+log_{10}(y)] is (5log_{10}(x)+log_{10}(y))/4