What is log_{2}((2+x)^{1/2})+log_{3}((2+x)^5) ?

The solution to log_{2}((2+x)^{1/2})+log_{3}((2+x)^5) is 1/2 log_{2}(2+x)+5log_{3}(2+x)

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simplify log_{2}((2+x)^{1/2})+log_{3}((2+x)^5)

simplify

lo g_{2} ((2 + x)^{\frac{1}{2}}) + lo g_{3} ((2 + x)^{5})

\frac{1}{2} lo g_{2} (2 + x) + 5 lo g_{3} (2 + x)

Solution steps

lo g_{2} ((2 + x)^{\frac{1}{2}}) + lo g_{3} ((2 + x)^{5})

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

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

= \frac{1}{2} lo g_{2} (2 + x) + 5 lo g_{3} (2 + x)

a^{2} - 4 a + 3

(a^{x + 1} + \frac{1}{2} b^{x})^{3}

\frac{5}{13}

2 (\frac{x - 7}{2}) + 7

(- 10 x^{5}) (- 2 x)

What is log_{2}((2+x)^{1/2})+log_{3}((2+x)^5) ?
The solution to log_{2}((2+x)^{1/2})+log_{3}((2+x)^5) is 1/2 log_{2}(2+x)+5log_{3}(2+x)