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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (\frac{17}{23})

- lo g_{10} (5.8 \cdot 1 0^{- 4})

ln (25) - 2 ln (125) + ln (5^{4}) + 6 ln (5)

ln (18) - ln (2)

ln (c e^{- c})

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