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Popular >

8+3e^{3+x}=10

Solution

8 + 3 e^{3 + x} = 10

Solution

x = ln (\frac{2}{3}) - 3

+1

Decimal Notation

x = - 3.40546 \dots

Solution steps

8 + 3 e^{3 + x} = 10

Move

8

to the right side

3 e^{3 + x} = 2

Divide both sides by

3

e^{3 + x} = \frac{2}{3}

Apply exponent rules

3 + x = ln (\frac{2}{3})

Solve

3 + x = ln (\frac{2}{3}) : x = ln (\frac{2}{3}) - 3

x = ln (\frac{2}{3}) - 3

Popular Examples

7^{3 x + 2} = 21

7^{3 x + 2} = 28

7^{3 x + 2} = 35

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

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

5^{x+1}+5^{1-x}=11

5^{x + 1} + 5^{1 - x} = 11

Frequently Asked Questions (FAQ)

What is the answer to 8+3e^{3+x}=10 ?
The answer to 8+3e^{3+x}=10 is x=ln(2/3)-3