Trigonometry Examples

$10^{x + 1} = e$

Step 1

Take the base $10$ logarithm of both sides of the equation to remove the variable from the exponent.

$\log (10^{x + 1}) = \log (e)$

Step 2

Expand the left side.

Tap for more steps...

Step 2.1

Expand $\log (10^{x + 1})$ by moving $x + 1$ outside the logarithm.

$(x + 1) \log (10) = \log (e)$

Step 2.2

Logarithm base $10$ of $10$ is $1$ .

$(x + 1) \cdot 1 = \log (e)$

Step 2.3

Multiply $x + 1$ by $1$ .

$x + 1 = \log (e)$

Step 3

Subtract $1$ from both sides of the equation.

$x = \log (e) - 1$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \log (e) - 1$

Decimal Form:

$x = - 0.56570551 \dots$