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

The solution to ln(axsqrt(a+x)) is ln(a)+ln(x)+ln(sqrt(a+x))

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simplify ln(axsqrt(a+x))

simplify

ln (a x a + x)

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

Solution steps

ln (a x a + x)

Apply log rule:

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

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

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

lo g_{3} (5) + lo g_{3} (8)

ln (2) + \frac{1}{3} ln (27)

lo g_{10} (\frac{x}{2 y ^{2}})

lo g_{2} (4 x^{3})

lo g_{10} (- 2 x)

What is ln(axsqrt(a+x)) ?
The solution to ln(axsqrt(a+x)) is ln(a)+ln(x)+ln(sqrt(a+x))