Subtract <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> .

Divide each term in <math><mstyle displaystyle="true"><mn>2</mn><msup><mrow><mi>e</mi></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>8</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><msup><mrow><mi>e</mi></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>8</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Expand <math><mstyle displaystyle="true"><mi>ln</mi><mrow><mo>(</mo><msup><mrow><mi>e</mi></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>)</mo></mrow></mstyle></math> by moving <math><mstyle displaystyle="true"><mi>x</mi><mo>+</mo><mn>1</mn></mstyle></math> outside the logarithm.

The natural logarithm of <math><mstyle displaystyle="true"><mi>e</mi></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mi>x</mi><mo>+</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> from both sides of the equation.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Do you know how to Solve for x 1+2e^(x+1)=9? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one hundred eighty-five million six hundred twenty-nine thousand nine hundred forty-four |
---|

- 185629944 has 32 divisors, whose sum is
**835334856** - The reverse of 185629944 is
**449926581** - Previous prime number is
**3**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 48
- Digital Root 3

Name | two billion forty-two million six hundred thirty-nine thousand three hundred ninety-seven |
---|

- 2042639397 has 16 divisors, whose sum is
**3028553280** - The reverse of 2042639397 is
**7939362402** - Previous prime number is
**1277**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 45
- Digital Root 9

Name | two billion one hundred thirty-seven million seven hundred nine thousand three hundred eleven |
---|

- 2137709311 has 4 divisors, whose sum is
**2141506872** - The reverse of 2137709311 is
**1139077312** - Previous prime number is
**563**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 34
- Digital Root 7