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Popular >

ln(1+e^x)=x

Solution

ln (1 + e^{x}) = x

Solution

No Solution for x \in R

Solution steps

ln (1 + e^{x}) = x

If

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{l n (1 + e^{x})} = e^{x}

Simplify

e^{l n (1 + e^{x})} : 1 + e^{x}

1 + e^{x} = e^{x}

Solve

1 + e^{x} = e^{x} :

No Solution for

x \in R

No Solution for x \in R

Popular Examples

log_{4}(x+5)-log_{4}(1-5x)=2

lo g_{4} (x + 5) - lo g_{4} (1 - 5 x) = 2

- ln (m^{2} - m + 1) = 0

solvefor p,ln(p)-ln(-p+1)=t solve for

p, ln (p) - ln (- p + 1) = t

3log_{a^3}(x)=log_{a}(x)

3 lo g_{a^{3}} (x) = lo g_{a} (x)

3.547=log_{10}(x)

3.547 = lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is the answer to ln(1+e^x)=x ?
The answer to ln(1+e^x)=x is No Solution for x\in\mathbb{R}