What is expand ln(xsqrt(1+x^2)) ?

The solution to expand ln(xsqrt(1+x^2)) is ln(x)+ln(sqrt(1+x^2))

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expand ln(xsqrt(1+x^2))

expand

ln (x 1 + x^{2})

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

Solution steps

ln (x 1 + x^{2})

Apply log rule:

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

ln (x 1 + x^{2}) = ln (x) + ln (1 + x^{2})

= ln (x) + ln (x^{2} + 1)

lo g_{10} (\frac{7 y}{9})

lo g_{5} (25 b)

3 ln (\frac{9}{2})

7 lo g_{b} (v) + 4 lo g_{b} (x)

What is expand ln(xsqrt(1+x^2)) ?
The solution to expand ln(xsqrt(1+x^2)) is ln(x)+ln(sqrt(1+x^2))