What is log_{10}(9sqrt(x)) ?

The solution to log_{10}(9sqrt(x)) is 2log_{10}(3)+log_{10}(sqrt(x))

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simplify log_{10}(9sqrt(x))

simplify

lo g_{10} (9 x)

2 lo g_{10} (3) + lo g_{10} (x)

Solution steps

lo g_{10} (9 x)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (9 x) = lo g_{10} (9) + lo g_{10} (x)

= lo g_{10} (9) + lo g_{10} (x)

lo g_{10} (9) = 2 lo g_{10} (3)

= 2 lo g_{10} (3) + lo g_{10} (x)

ln (16) - ln (9)

lo g_{10} (\frac{8 x}{y})

\frac{ln ( 479 ) - ln ( 158 )}{89}

ln (2) + \frac{1}{2} ln (9)

0.25 \cdot ln (\frac{1 0 ^{17} \cdot 1 0 ^{16}}{( 1 0 ^{10} ) ^{2}})

What is log_{10}(9sqrt(x)) ?
The solution to log_{10}(9sqrt(x)) is 2log_{10}(3)+log_{10}(sqrt(x))