What is ln(x/5)+(x^2)/(25) ?

The solution to ln(x/5)+(x^2)/(25) is ln(x)-ln(5)+(x^2)/(25)

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simplify ln(x/5)+(x^2)/(25)

simplify

ln (\frac{x}{5}) + \frac{x ^{2}}{25}

ln (x) - ln (5) + \frac{x ^{2}}{25}

Solution steps

ln (\frac{x}{5}) + \frac{x ^{2}}{25}

Apply log rule:

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

ln (\frac{x}{5}) = ln (x) - ln (5)

= ln (x) - ln (5) + \frac{x ^{2}}{25}

lo g_{3} (2 (ab)^{3} c)

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

4 ln (t x) - 2 ln (\frac{x}{t ^{3}})

ln (\frac{51}{256})

lo g_{10} (2 v t^{2 x})

What is ln(x/5)+(x^2)/(25) ?
The solution to ln(x/5)+(x^2)/(25) is ln(x)-ln(5)+(x^2)/(25)