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

The solution to log_{10}((x^2)/z) is 2log_{10}(x)-log_{10}(z)

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simplify log_{10}((x^2)/z)

simplify

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

2 lo g_{10} (x) - lo g_{10} (z)

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{10} (x^{2}) : 2 lo g_{10} (x)

= 2 lo g_{10} (x) - lo g_{10} (z)

ln (\frac{x ^{9} x ^{2} + 3}{( x + 3 ) ^{6}})

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

\frac{1}{2} ln (x) + 6 ln (y) - 9 ln (z)

lo g_{10} (\frac{- 5 ^{7} 2 ^{5}}{- 1 0 ^{8}})

ln (3 e^{7 x^{2} - 13 x + 5})

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