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Popular >

simplify (e^4)^{ln(3)}

Solution

simplify

(e^{4})^{l n (3)}

Solution

81

Solution steps

(e^{4})^{l n (3)}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{4 l n (3)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (3)})^{4}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (3)} = 3

= 3^{4}

3^{4} = 81

= 81

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Frequently Asked Questions (FAQ)

What is (e^4)^{ln(3)} ?
The solution to (e^4)^{ln(3)} is 81