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Popular >

x^{ln(x)}=e^{(ln(x))^3}

Solution

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

Solution

x = 1, x = e

+1

Decimal Notation

x = 1, x = 2.71828 \dots

Solution steps

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

Apply exponent rules

ln^{2} (x) = ln^{3} (x)

Solve

ln^{2} (x) = ln^{3} (x) : x = 1, x = e

x = 1, x = e

Verify Solutions:

x = 1

True

, x = e

True

The solutions are

x = 1, x = e

Popular Examples

e^{7 + 2 x} = 3

4 (2^{t}) = 10

e^{y} = 4

2^{4x-2}=8^{x+1}

2^{4 x - 2} = 8^{x + 1}

4^{x} = \frac{1}{256}

Frequently Asked Questions (FAQ)

What is the answer to x^{ln(x)}=e^{(ln(x))^3} ?
The answer to x^{ln(x)}=e^{(ln(x))^3} is x=1,x=e