What is log_{6}(5)+2log_{6}(x^2+1) ?

The solution to log_{6}(5)+2log_{6}(x^2+1) is log_{6}(5(x^2+1)^2)

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simplify log_{6}(5)+2log_{6}(x^2+1)

simplify

lo g_{6} (5) + 2 lo g_{6} (x^{2} + 1)

lo g_{6} (5 (x^{2} + 1)^{2})

Solution steps

lo g_{6} (5) + 2 lo g_{6} (x^{2} + 1)

Apply log rule:

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

2 lo g_{6} (x^{2} + 1) = lo g_{6} ((x^{2} + 1)^{2})

= lo g_{6} (5) + lo g_{6} ((x^{2} + 1)^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{6} (5) + lo g_{6} ((x^{2} + 1)^{2}) = lo g_{6} (5 (x^{2} + 1)^{2})

= lo g_{6} (5 (x^{2} + 1)^{2})

\frac{10}{2 π}

(\frac{5}{3})^{- 1}

\frac{x - 2}{2 x + 3} \geq 1

\frac{1}{2} < 3 - 2 x \leq 3

\frac{5}{9} - \frac{1}{5}

What is log_{6}(5)+2log_{6}(x^2+1) ?
The solution to log_{6}(5)+2log_{6}(x^2+1) is log_{6}(5(x^2+1)^2)