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Popular >

simplify (e^{ln(x)})^{(e^5)}

Solution

simplify

(e^{l n (x)})^{(e^{5})}

Solution

x^{e^{5}}

Solution steps

(e^{l n (x)})^{(e^{5})}

Apply exponent rule:

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

= e^{l n (x) e^{5}}

Apply exponent rule:

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

= (e^{l n (x)})^{e^{5}}

Apply log rule:

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

e^{l n (x)} = x

= x^{e^{5}}

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Frequently Asked Questions (FAQ)

What is (e^{ln(x)})^{(e^5)} ?
The solution to (e^{ln(x)})^{(e^5)} is x^{e^5}