Trigonometry Examples

$5^{x - 4} = 625$

Step 1

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

$5^{x - 4} = 5^{4}$

Step 2

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

$x - 4 = 4$

Step 3

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

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Step 3.1

Add $4$ to both sides of the equation.

$x = 4 + 4$

Step 3.2

Add $4$ and $4$ .

$x = 8$