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Popular >

simplify ln(x/((3-x)))

Solution

simplify

ln (\frac{x}{( 3 - x )})

Solution

ln (x) - ln (3 - x)

Solution steps

ln (\frac{x}{( 3 - x )})

Apply log rule:

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

ln (\frac{x}{( 3 - x )}) = ln (x) - ln ((3 - x))

= ln (x) - ln (- x + 3)

Popular Examples

simplify-192ln((0.0001)/(0.04))simplify

- 192 ln (\frac{0.0001}{0.04})

simplify-log_{10}(1.33*10^{-12})simplify

- lo g_{10} (1.33 \cdot 1 0^{- 12})

simplify 5ln(x+1)+2ln(x^3)-ln(x)simplify

5 ln (x + 1) + 2 ln (x^{3}) - ln (x)

simplify 0.5log_{10}(c)+5log_{10}(d)simplify

0.5 lo g_{10} (c) + 5 lo g_{10} (d)

simplify log_{2}(1/12)+3.4387 simplify

lo g_{2} (\frac{1}{12}) + 3.4387

Frequently Asked Questions (FAQ)

What is ln(x/((3-x))) ?
The solution to ln(x/((3-x))) is ln(x)-ln(3-x)