What is log_{10}(((100x)^2)/(27)) ?

The solution to log_{10}(((100x)^2)/(27)) is 4+2log_{10}(x)-3log_{10}(3)

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simplify log_{10}(((100x)^2)/(27))

simplify

lo g_{10} (\frac{( 100 x ) ^{2}}{27})

4 + 2 lo g_{10} (x) - 3 lo g_{10} (3)

Solution steps

lo g_{10} (\frac{( 100 x ) ^{2}}{27})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{( 100 x ) ^{2}}{27}) = lo g_{10} ((100 x)^{2}) - lo g_{10} (27)

= lo g_{10} ((100 x)^{2}) - lo g_{10} (27)

lo g_{10} ((100 x)^{2}) = 4 + 2 lo g_{10} (x)

lo g_{10} (27) = 3 lo g_{10} (3)

= 4 + 2 lo g_{10} (x) - 3 lo g_{10} (3)

lo g_{3} (\frac{x ^{5}}{y ^{6}})

- ln (\frac{3}{4})

lo g_{a} (\frac{a ^{3} x}{y ^{2}})

lo g_{13} (13 x)

ln (\frac{7 x ^{3}}{y ^{2}})

What is log_{10}(((100x)^2)/(27)) ?
The solution to log_{10}(((100x)^2)/(27)) is 4+2log_{10}(x)-3log_{10}(3)