Trigonometry Examples

$10^{\log (4 x + 7)} = 8$

Step 1

Exponentiation and log are inverse functions.

$4 x + 7 = 8$

Step 2

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

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Step 2.1

Subtract $7$ from both sides of the equation.

$4 x = 8 - 7$

Step 2.2

Subtract $7$ from $8$ .

$4 x = 1$

Step 3

Divide each term in $4 x = 1$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x = 1$ by $4$ .

$\frac{4 x}{4} = \frac{1}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{1}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{4}$

Decimal Form:

$x = 0.25$