What is (log_{10}(x)+log_{10}(3x^2))/2 ?

The solution to (log_{10}(x)+log_{10}(3x^2))/2 is (log_{10}(3x^3))/2

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simplify (log_{10}(x)+log_{10}(3x^2))/2

simplify

\frac{lo g _{10} ( x ) + lo g _{10} ( 3 x ^{2} )}{2}

\frac{lo g _{10} ( 3 x ^{3} )}{2}

Solution steps

\frac{lo g _{10} ( x ) + lo g _{10} ( 3 x ^{2} )}{2}

Simplify

lo g_{10} (x) + lo g_{10} (3 x^{2}) : lo g_{10} (x^{3} \cdot 3)

= \frac{lo g _{10} ( x ^{3} \cdot 3 )}{2}

= \frac{lo g _{10} ( 3 x ^{3} )}{2}

- 0.375 \cdot lo g_{2} (0.375) - 0.625 \cdot lo g_{2} (0.625)

lo g_{a} (\frac{( x + y )}{( x ^{2} - y ^{2} )})

lo g_{3} (\frac{2 a}{c d})

ln (\frac{e ^{9}}{9})

What is (log_{10}(x)+log_{10}(3x^2))/2 ?
The solution to (log_{10}(x)+log_{10}(3x^2))/2 is (log_{10}(3x^3))/2