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Popular >

(e^x+1)/2 =7

Solution

\frac{e ^{x} + 1}{2} = 7

Solution

x = ln (13)

+1

Decimal Notation

x = 2.56494 \dots

Solution steps

\frac{e ^{x} + 1}{2} = 7

Multiply both sides by

2

\frac{e ^{x} + 1}{2} \cdot 2 = 7 \cdot 2

Simplify

e^{x} + 1 = 14

Move

1

to the right side

e^{x} = 13

Apply exponent rules

x = ln (13)

Popular Examples

8^{x - 1} = 16

5^{3 x + 2} = 45

12^{2x}=4*3^{x+1}

1 2^{2 x} = 4 \cdot 3^{x + 1}

6^{(x + 2)} = 21

3^{2 - x} = \frac{1}{81}

Frequently Asked Questions (FAQ)

What is the answer to (e^x+1)/2 =7 ?
The answer to (e^x+1)/2 =7 is x=ln(13)