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Popular >

simplify e^{ln(7)-ln(2)}

Solution

simplify

e^{l n (7) - l n (2)}

Solution

\frac{7}{2}

+1

Solution steps

e^{l n (7) - l n (2)}

Apply exponent rule:

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

= e^{l n (7)} e^{- l n (2)}

Simplify

e^{l n (7)} : 7

= 7 e^{- l n (2)}

Simplify

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

= 7 \cdot 2^{- 1}

Simplify

= \frac{7}{2}

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Frequently Asked Questions (FAQ)

What is e^{ln(7)-ln(2)} ?
The solution to e^{ln(7)-ln(2)} is 7/2