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Popular >

simplify ln((sqrt(a+1))/a)

Solution

simplify

ln (\frac{a + 1}{a})

Solution

ln (a + 1) - ln (a)

Solution steps

ln (\frac{a + 1}{a})

Apply log rule:

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

ln (\frac{a + 1}{a}) = ln (a + 1) - ln (a)

= ln (a + 1) - ln (a)

Popular Examples

simplify ln_{3}(0.2)+ln_{3}(1215)simplify

ln_{3} (0.2) + ln_{3} (1215)

simplify log_{10}(1215x^{0.84})simplify

lo g_{10} (1215 x^{0.84})

simplify ln(x)-3ln(z)+0.5ln(y)simplify

ln (x) - 3 ln (z) + 0.5 ln (y)

expand log_{10}(x^5y^3z)expand

lo g_{10} (x^{5} y^{3} z)

expand log_{10}(x/w)expand

lo g_{10} (\frac{x}{w})

Frequently Asked Questions (FAQ)

What is ln((sqrt(a+1))/a) ?
The solution to ln((sqrt(a+1))/a) is ln(sqrt(a+1))-ln(a)