What is log_{3}(x)+log_{3}(x+1)log_{3}(12) ?

The solution to log_{3}(x)+log_{3}(x+1)log_{3}(12) is log_{3}(x(x+1)^{log_{3}(12)})

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simplify log_{3}(x)+log_{3}(x+1)log_{3}(12)

simplify

lo g_{3} (x) + lo g_{3} (x + 1) lo g_{3} (12)

lo g_{3} (x (x + 1)^{l o g_{3} (12)})

Solution steps

lo g_{3} (x) + lo g_{3} (x + 1) lo g_{3} (12)

Apply log rule:

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

lo g_{3} (12) lo g_{3} (x + 1) = lo g_{3} ((x + 1)^{l o g_{3} (12)})

= lo g_{3} (x) + lo g_{3} ((x + 1)^{l o g_{3} (12)})

Apply log rule:

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

lo g_{3} (x) + lo g_{3} ((x + 1)^{l o g_{3} (12)}) = lo g_{3} (x (x + 1)^{l o g_{3} (12)})

= lo g_{3} (x (x + 1)^{l o g_{3} (12)})

ln (\frac{29}{x ^{2} + y ^{2}})

1 - e^{- θ (\frac{y θ}{- l n ( 2 ) - l n ( θ )})}

- \frac{1}{2} ln (1 - 2 v) - ln (x)

2 ln (2 m)

lo g_{10} (z^{4} y \cdot x^{9})

What is log_{3}(x)+log_{3}(x+1)log_{3}(12) ?
The solution to log_{3}(x)+log_{3}(x+1)log_{3}(12) is log_{3}(x(x+1)^{log_{3}(12)})