What is expand log_{3}((81)/(x^2+5)) ?

The solution to expand log_{3}((81)/(x^2+5)) is 4-log_{3}(x^2+5)

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expand log_{3}((81)/(x^2+5))

expand

lo g_{3} (\frac{81}{x ^{2} + 5})

4 - lo g_{3} (x^{2} + 5)

Solution steps

lo g_{3} (\frac{81}{x ^{2} + 5})

Apply log rule:

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

lo g_{3} (\frac{81}{x ^{2} + 5}) = lo g_{3} (81) - lo g_{3} (x^{2} + 5)

= lo g_{3} (81) - lo g_{3} (x^{2} + 5)

lo g_{3} (81) = 4

= 4 - lo g_{3} (x^{2} + 5)

\frac{- 5 ln ( 7 ) - ln ( 5 )}{7 ln ( 5 ) - ln ( 7 )}

ln (r e^{i θ})

lo g_{2} (x + 1) + 3 lo g_{2} (x) - 8 lo g_{4} (x)

\frac{1}{2} lo g_{10} (c) + 5 lo g_{10} (d)

What is expand log_{3}((81)/(x^2+5)) ?
The solution to expand log_{3}((81)/(x^2+5)) is 4-log_{3}(x^2+5)