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Popular >

(50)/(4+e^{2x)}=11

Solution

\frac{50}{4 + e ^{2 x}} = 11

Solution

x = \frac{ln ( \frac{6}{11} )}{2}

+1

Decimal Notation

x = - 0.30306 \dots

Solution steps

\frac{50}{4 + e ^{2 x}} = 11

Multiply both sides by

4 + e^{2 x}

\frac{50}{4 + e ^{2 x}} (4 + e^{2 x}) = 11 (4 + e^{2 x})

Simplify

50 = 11 (4 + e^{2 x})

Switch sides

11 (4 + e^{2 x}) = 50

Divide both sides by

11

4 + e^{2 x} = \frac{50}{11}

Move

4

to the right side

e^{2 x} = \frac{6}{11}

Apply exponent rules

2 x = ln (\frac{6}{11})

Solve

2 x = ln (\frac{6}{11}) : x = \frac{ln ( \frac{6}{11} )}{2}

x = \frac{ln ( \frac{6}{11} )}{2}

Verify Solutions:

x = \frac{ln ( \frac{6}{11} )}{2}

True

The solution is

x = \frac{ln ( \frac{6}{11} )}{2}

Popular Examples

5^{x^{2} - 2 x - 8} = 1

2^{x} = 2

4 (1 + 1 0^{5 x}) = 9

e^{- x} = 1

3^{2x-2}+3^{x-1}=12

3^{2 x - 2} + 3^{x - 1} = 12

Frequently Asked Questions (FAQ)

What is the answer to (50)/(4+e^{2x)}=11 ?
The answer to (50)/(4+e^{2x)}=11 is x=(ln(6/11))/2