What is ln((sin(x))/(sqrt(1+5x))) ?

The solution to ln((sin(x))/(sqrt(1+5x))) is ln(sin(x))-ln(sqrt(1+5x))

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simplify ln((sin(x))/(sqrt(1+5x)))

simplify

ln (\frac{sin ( x )}{1 + 5 x})

ln (sin (x)) - ln (1 + 5 x)

Solution steps

ln (\frac{sin ( x )}{1 + 5 x})

Apply log rule:

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

ln (\frac{sin ( x )}{1 + 5 x}) = ln (sin (x)) - ln (1 + 5 x)

= ln (sin (x)) - ln (5 x + 1)

- ln (\frac{x}{y}) + 2 ln (x)

ln (\frac{1}{9 + 9 e ^{x}})

2 ln (x) - 3 ln (x - 1)

ln (x^{a} 2 y^{b} (1 - x - 2 y)^{c})

ln (\frac{1}{3} e^{3 x})

What is ln((sin(x))/(sqrt(1+5x))) ?
The solution to ln((sin(x))/(sqrt(1+5x))) is ln(sin(x))-ln(sqrt(1+5x))