Trigonometry Examples

$10^{\log (5 x + 9)} = 10$

Step 1

Exponentiation and log are inverse functions.

$5 x + 9 = 10$

Step 2

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

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Step 2.1

Subtract $9$ from both sides of the equation.

$5 x = 10 - 9$

Step 2.2

Subtract $9$ from $10$ .

$5 x = 1$

Step 3

Divide each term in $5 x = 1$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 x = 1$ by $5$ .

$\frac{5 x}{5} = \frac{1}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{1}{5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$