What is expand log_{10}((21)/(x^2)) ?

The solution to expand log_{10}((21)/(x^2)) is log_{10}(21)-2log_{10}(x)

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expand log_{10}((21)/(x^2))

expand

lo g_{10} (\frac{21}{x ^{2}})

lo g_{10} (21) - 2 lo g_{10} (x)

Solution steps

lo g_{10} (\frac{21}{x ^{2}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{21}{x ^{2}}) = lo g_{10} (21) - lo g_{10} (x^{2})

= lo g_{10} (21) - lo g_{10} (x^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{10} (21) - 2 lo g_{10} (x)

ln ((5 p^{3} q^{4})^{2})

\frac{1}{2} lo g_{3} (\frac{( 27 b ^{2} )}{c})

ln (18.2) - ln (3)

lo g_{10} (\frac{a ^{3}}{b ^{2} \cdot 2})

\frac{3}{5} lo g_{2} (\frac{3}{5}) + \frac{2}{5} lo g_{2} (\frac{2}{5})

What is expand log_{10}((21)/(x^2)) ?
The solution to expand log_{10}((21)/(x^2)) is log_{10}(21)-2log_{10}(x)