Trigonometry Examples

$10^{x + 4} = 1000$

Step 1

Create equivalent expressions in the equation that all have equal bases.

$10^{x + 4} = 10^{3}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x + 4 = 3$

Step 3

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

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Step 3.1

Subtract $4$ from both sides of the equation.

$x = 3 - 4$

Step 3.2

Subtract $4$ from $3$ .

$x = - 1$