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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

2 lo g_{5} (x) = lo g_{5} (x^{2})

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

Apply log rule:

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

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

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

ln (\frac{25}{22})

\frac{1}{2} lo g_{3} (64) - 2 lo g_{3} (4) + lo g_{3} (18)

\frac{1}{2} (lo g_{10} (x) + lo g_{10} (9))

0.491 \cdot lo g_{10} (21) - 0.491 \cdot lo g_{10} (20)

lo g_{x} (x^{2} y)

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