What is log_{3}(x-1)+log_{3}(2x+3) ?

The solution to log_{3}(x-1)+log_{3}(2x+3) is log_{3}((x-1)(2x+3))

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simplify log_{3}(x-1)+log_{3}(2x+3)

simplify

lo g_{3} (x - 1) + lo g_{3} (2 x + 3)

lo g_{3} ((x - 1) (2 x + 3))

Solution steps

lo g_{3} (x - 1) + lo g_{3} (2 x + 3)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{3} (x - 1) + lo g_{3} (2 x + 3) = lo g_{3} ((x - 1) (2 x + 3))

= lo g_{3} ((x - 1) (2 x + 3))

\frac{ln ( \frac{1024}{5} )}{2 ln ( 2 )}

ln (e^{2 x} (1 + x^{3}))

lo g_{10} (\frac{1}{2 π x ^{2}})

ln (2 c d^{3})

ln (\frac{100}{3})

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