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Popular >

simplify ln((4x)/(x+1))

Solution

simplify

ln (\frac{4 x}{x + 1})

Solution

2 ln (2) + ln (x) - ln (x + 1)

Solution steps

ln (\frac{4 x}{x + 1})

Apply log rule:

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

ln (\frac{4 x}{x + 1}) = ln (4 x) - ln (x + 1)

= ln (4 x) - ln (x + 1)

Apply log rule:

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

ln (4 x) = ln (4) + ln (x)

= ln (4) + ln (x) - ln (x + 1)

ln (4) = 2 ln (2)

= 2 ln (2) + ln (x) - ln (x + 1)

Popular Examples

simplify 4.7+log_{10}((0.2)/(0.1))simplify

4.7 + lo g_{10} (\frac{0.2}{0.1})

simplify 3ln|x-3|+5ln|x+2|+5/9 ln|2x+3|simplify

3 ln ∣ x - 3 ∣ + 5 ln ∣ x + 2 ∣ + \frac{5}{9} ln ∣ 2 x + 3 ∣

simplify log_{10}(a)+4log_{10}(b)-2log_{10}(c)simplify

lo g_{10} (a) + 4 lo g_{10} (b) - 2 lo g_{10} (c)

expand log_{10}(a/(b^2))expand

lo g_{10} (\frac{a}{b ^{2}})

expand log_{10}(((x^x))/5)expand

lo g_{10} (\frac{( x ^{x} )}{5})

Frequently Asked Questions (FAQ)

What is ln((4x)/(x+1)) ?
The solution to ln((4x)/(x+1)) is 2ln(2)+ln(x)-ln(x+1)