What is 2500-(ln(x^2+6x+9)-ln(x+3)) ?

The solution to 2500-(ln(x^2+6x+9)-ln(x+3)) is 2500-ln(x+3)

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simplify 2500-(ln(x^2+6x+9)-ln(x+3))

simplify

2500 - (ln (x^{2} + 6 x + 9) - ln (x + 3))

2500 - ln (x + 3)

Solution steps

2500 - (ln (x^{2} + 6 x + 9) - ln (x + 3))

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x^{2} + 6 x + 9) - ln (x + 3) = ln (\frac{x ^{2} + 6 x + 9}{x + 3})

= 2500 - ln (\frac{x ^{2} + 6 x + 9}{x + 3})

Simplify

\frac{x ^{2} + 6 x + 9}{x + 3} : x + 3

= 2500 - ln (x + 3)

ln (A e^{- t})

lo g_{e} (3^{\frac{1}{6}}) + lo g_{e} (6^{\frac{1}{3}})

\frac{2}{3} ln (x - 2) - 2 ln (x + 1) + ln (2 x)

5 lo g_{10} (x) + lo g_{10} (7)

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

What is 2500-(ln(x^2+6x+9)-ln(x+3)) ?
The solution to 2500-(ln(x^2+6x+9)-ln(x+3)) is 2500-ln(x+3)