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Popular >

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

Solution

simplify

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

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

Simplify

e^{l n (2)} : 2

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

Simplify

e^{- l n (3)} : 3^{- 1}

= 2 \cdot 3^{- 1}

Simplify

= \frac{2}{3}

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Frequently Asked Questions (FAQ)

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