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Popular >

(13)/(2+e^x)=4

Solution

\frac{13}{2 + e ^{x}} = 4

Solution

x = ln (\frac{5}{4})

+1

Decimal Notation

x = 0.22314 \dots

Solution steps

\frac{13}{2 + e ^{x}} = 4

Multiply both sides by

2 + e^{x}

\frac{13}{2 + e ^{x}} (2 + e^{x}) = 4 (2 + e^{x})

Simplify

13 = 4 (2 + e^{x})

Switch sides

4 (2 + e^{x}) = 13

Divide both sides by

4

2 + e^{x} = \frac{13}{4}

Move

2

to the right side

e^{x} = \frac{5}{4}

Apply exponent rules

x = ln (\frac{5}{4})

Verify Solutions:

x = ln (\frac{5}{4})

True

The solution is

x = ln (\frac{5}{4})

Popular Examples

7^{6 x + 7} = 3

6^{x} - 28 = - 8

1500=159+28e^{0.02t}

1500 = 159 + 28 e^{0.02 t}

4 = 1 0^{x}

25^{x-2}=125^{x-1}

2 5^{x - 2} = 12 5^{x - 1}

Frequently Asked Questions (FAQ)

What is the answer to (13)/(2+e^x)=4 ?
The answer to (13)/(2+e^x)=4 is x=ln(5/4)