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Popular >

simplify-e^{-(ln(3)-ln(2))}

Solution

simplify

- e^{- (l n (3) - l n (2))}

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

- e^{- (l n (3) - l n (2))}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - \frac{1}{e ^{(l n (3) - l n (2))}}

Remove parentheses:

(a) = a

= - \frac{1}{e ^{l n (3) - l n (2)}}

e^{l n (3) - l n (2)} = 2^{- 1} \cdot 3

= - \frac{1}{2 ^{- 1} \cdot 3}

Simplify

= - \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is simplify-e^{-(ln(3)-ln(2))} ?
The solution to simplify-e^{-(ln(3)-ln(2))} is -2/3