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Popular >

(e^x+1)/(e^x)=2

Solution

\frac{e ^{x} + 1}{e ^{x}} = 2

Solution

x = 0

Solution steps

\frac{e ^{x} + 1}{e ^{x}} = 2

Apply exponent rules

(e^{x} + 1) (e^{x})^{- 1} = 2

Rewrite the equation with

e^{x} = u

(u + 1) (u)^{- 1} = 2

Solve

(u + 1) u^{- 1} = 2 : u = 1

u = 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 : x = 0

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

Popular Examples

100=5*10^{0.3t}

100 = 5 \cdot 1 0^{0.3 t}

5^{x^{2}} = 2^{5 x}

4^{x} + 5 = 21

7^{x + 2} = 343

7^{p} = 3

Frequently Asked Questions (FAQ)

What is the answer to (e^x+1)/(e^x)=2 ?
The answer to (e^x+1)/(e^x)=2 is x=0