What is 2log_{3}(k)-3-log_{3}(x) ?

The solution to 2log_{3}(k)-3-log_{3}(x) is log_{3}((k^2)/x)-3

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simplify 2log_{3}(k)-3-log_{3}(x)

simplify

2 lo g_{3} (k) - 3 - lo g_{3} (x)

lo g_{3} (\frac{k ^{2}}{x}) - 3

Solution steps

2 lo g_{3} (k) - 3 - lo g_{3} (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{3} (k) = lo g_{3} (k^{2})

= lo g_{3} (k^{2}) - 3 - lo g_{3} (x)

Apply log rule:

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

lo g_{3} (k^{2}) - lo g_{3} (x) = lo g_{3} (\frac{k ^{2}}{x})

= lo g_{3} (\frac{k ^{2}}{x}) - 3

ln (\frac{x ^{2} - 0.25}{2})

\frac{1}{540} ln (\frac{100}{32.5})

ln (\frac{x ^{8} p ^{5} q}{e ^{5}})

ln (ln (7) + ln (ln (x) + ln (y)))

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

What is 2log_{3}(k)-3-log_{3}(x) ?
The solution to 2log_{3}(k)-3-log_{3}(x) is log_{3}((k^2)/x)-3