What is log_{3}(x+25)-log_{3}(x-1) ?

The solution to log_{3}(x+25)-log_{3}(x-1) is log_{3}((x+25)/(x-1))

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simplify log_{3}(x+25)-log_{3}(x-1)

simplify

lo g_{3} (x + 25) - lo g_{3} (x - 1)

lo g_{3} (\frac{x + 25}{x - 1})

Solution steps

lo g_{3} (x + 25) - lo g_{3} (x - 1)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{3} (x + 25) - lo g_{3} (x - 1) = lo g_{3} (\frac{x + 25}{x - 1})

= lo g_{3} (\frac{x + 25}{x - 1})

lo g_{4} (x^{2} - 4) - 6 lo g_{4} (x + 2)

ln (4 x^{2}) + ln (3 x^{3})

\frac{1}{6} ln (y) + ln (z)

lo g_{10} (48) + lo g_{10} (75)

\frac{3}{2} ln (2)

What is log_{3}(x+25)-log_{3}(x-1) ?
The solution to log_{3}(x+25)-log_{3}(x-1) is log_{3}((x+25)/(x-1))