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Popular >

simplify e^{ln(5)-ln(2)}

Solution

simplify

e^{l n (5) - l n (2)}

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

e^{l n (5) - l n (2)}

Apply exponent rule:

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

= e^{l n (5)} e^{- l n (2)}

Simplify

e^{l n (5)} : 5

= 5 e^{- l n (2)}

Simplify

e^{- l n (2)} : 2^{- 1}

= 5 \cdot 2^{- 1}

Simplify

= \frac{5}{2}

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Frequently Asked Questions (FAQ)

What is e^{ln(5)-ln(2)} ?
The solution to e^{ln(5)-ln(2)} is 5/2