Algebra Examples

$e^{r + 10} - 10 = - 42$

Step 1

Move all terms not containing $r$ to the right side of the equation.

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Step 1.1

Add $10$ to both sides of the equation.

$e^{r + 10} = - 42 + 10$

Step 1.2

Add $- 42$ and $10$ .

$e^{r + 10} = - 32$

Step 2

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

$\ln (e^{r + 10}) = \ln (- 32)$

Step 3

The equation cannot be solved because $\ln (- 32)$ is undefined.

Undefined

Step 4

There is no solution for $e^{r + 10} = - 32$

No solution