What is (ln(a+x)-ln(a))(ln(a+x)+ln(a)) ?

The solution to (ln(a+x)-ln(a))(ln(a+x)+ln(a)) is ln((a+x)/a)ln((a+x)a)

Popular >

simplify (ln(a+x)-ln(a))(ln(a+x)+ln(a))

simplify

(ln (a + x) - ln (a)) (ln (a + x) + ln (a))

ln (\frac{a + x}{a}) ln ((a + x) a)

Solution steps

(ln (a + x) - ln (a)) (ln (a + x) + ln (a))

Apply log rule:

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

ln (a + x) - ln (a) = ln (\frac{x + a}{a})

= ln (\frac{a + x}{a}) (ln (a + x) + ln (a))

Apply log rule:

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

ln (a + x) + ln (a) = ln (a (x + a))

= ln (\frac{a + x}{a}) ln ((a + x) a)

lo g_{e} (\frac{n !}{( n - x ) ! x !} (Y)^{x} (1 - Y)^{n - x})

(\frac{1}{x})^{2} + lo g_{e} (2 x)

ln (\frac{1}{2 e ^{x^{2}}})

ln (3 x + 16) + ln (x + 4)

- 4 ln ∣ x ∣ - 3 ln ∣ 2 x + 1 ∣ + 11 ln ∣ x + 1 ∣

What is (ln(a+x)-ln(a))(ln(a+x)+ln(a)) ?
The solution to (ln(a+x)-ln(a))(ln(a+x)+ln(a)) is ln((a+x)/a)ln((a+x)a)