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Popular >

x^{ln(x)}=e^{100}

Solution

x^{l n (x)} = e^{100}

Solution

x = e^{10}, x = \frac{1}{e ^{10}}

+1

Solution steps

x^{l n (x)} = e^{100}

Apply exponent rules

ln^{2} (x) = 100

Solve

ln^{2} (x) = 100 : x = e^{10}, x = \frac{1}{e ^{10}}

x = e^{10}, x = \frac{1}{e ^{10}}

Verify Solutions:

x = e^{10}

True

, x = \frac{1}{e ^{10}}

True

The solutions are

x = e^{10}, x = \frac{1}{e ^{10}}

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2^{3 x - 3} = \frac{1}{2} 32

24 3^{2 v} = 81

4^{x} - 15 \cdot 2^{x} = 16

4^{x} = 2^{x + 5}

Frequently Asked Questions (FAQ)

What is the answer to x^{ln(x)}=e^{100} ?
The answer to x^{ln(x)}=e^{100} is x=e^{10},x= 1/(e^{10)}