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Popular >

simplify-ln(3/2)+ln(5/3)

Solution

simplify

- ln (\frac{3}{2}) + ln (\frac{5}{3})

Solution

ln (\frac{10}{9})

+1

Decimal Notation

0.10536 \dots

Solution steps

- ln (\frac{3}{2}) + ln (\frac{5}{3})

Apply log rule:

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

ln (\frac{5}{3}) - ln (\frac{3}{2}) = ln (\frac{\frac{5}{3}}{\frac{3}{2}})

= ln (\frac{\frac{5}{3}}{\frac{3}{2}})

\frac{\frac{5}{3}}{\frac{3}{2}} = \frac{10}{9}

= ln (\frac{10}{9})

Popular Examples

simplify ln(1000/100)simplify

ln (\frac{1000}{100})

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ln (7 x) - ln (1)

simplify-log_{10}(7.21*10^{-6})simplify

- lo g_{10} (7.21 \cdot 1 0^{- 6})

simplify-1/2 ln(x+1)+2ln(x+2)-3/2 ln(x+3)simplify

- \frac{1}{2} ln (x + 1) + 2 ln (x + 2) - \frac{3}{2} ln (x + 3)

simplify ln(1.21*10^3)simplify

ln (1.21 \cdot 1 0^{3})

Frequently Asked Questions (FAQ)

What is simplify-ln(3/2)+ln(5/3) ?
The solution to simplify-ln(3/2)+ln(5/3) is ln(10/9)