What is log_{10}((x^2)/7) ?

The solution to log_{10}((x^2)/7) is 2log_{10}(x)-log_{10}(7)

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simplify log_{10}((x^2)/7)

simplify

lo g_{10} (\frac{x ^{2}}{7})

2 lo g_{10} (x) - lo g_{10} (7)

Solution steps

lo g_{10} (\frac{x ^{2}}{7})

Apply log rule:

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

lo g_{10} (\frac{x ^{2}}{7}) = lo g_{10} (x^{2}) - lo g_{10} (7)

= lo g_{10} (x^{2}) - lo g_{10} (7)

Simplify

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

= 2 lo g_{10} (x) - lo g_{10} (7)

lo g_{5} (\frac{25}{x + 5})

lo g_{2} (\frac{3 y}{z})

lo g_{10} (\frac{z ^{3} x ^{4}}{y})

ln (9 x^{3})

lo g_{10} (2 x) lo g_{10} (5) - 1 - 2 lo g_{10} (\frac{5}{2})

What is log_{10}((x^2)/7) ?
The solution to log_{10}((x^2)/7) is 2log_{10}(x)-log_{10}(7)