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Popular >

(100)/(1+e^{2x)}=1

Solution

\frac{100}{1 + e ^{2 x}} = 1

Solution

x = \frac{ln ( 99 )}{2}

+1

Solution steps

\frac{100}{1 + e ^{2 x}} = 1

Multiply both sides by

1 + e^{2 x}

\frac{100}{1 + e ^{2 x}} (1 + e^{2 x}) = 1 \cdot (1 + e^{2 x})

Simplify

100 = 1 + e^{2 x}

Switch sides

1 + e^{2 x} = 100

Move

1

to the right side

e^{2 x} = 99

Apply exponent rules

2 x = ln (99)

Solve

2 x = ln (99) : x = \frac{ln ( 99 )}{2}

x = \frac{ln ( 99 )}{2}

Verify Solutions:

x = \frac{ln ( 99 )}{2}

True

The solution is

x = \frac{ln ( 99 )}{2}

Popular Examples

3^{x} = e^{- 978}

3 \cdot 2^{x} = 2 \cdot 3^{x}

4^{x+2}\times 4^x=120

4^{x + 2} \times 4^{x} = 120

9^x-8(3^x)+15=0

9^{x} - 8 (3^{x}) + 15 = 0

40+30e^{-0.2x}=50

40 + 30 e^{- 0.2 x} = 50

Frequently Asked Questions (FAQ)

What is the answer to (100)/(1+e^{2x)}=1 ?
The answer to (100)/(1+e^{2x)}=1 is x=(ln(99))/2