Algebra Examples

$2^{4 x} = 2^{3 x - 9}$

Step 1

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

$2^{4 x} = 2^{3 x - 9}$

Step 2

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

$4 x = 3 x - 9$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Subtract $3 x$ from both sides of the equation.

$4 x - 3 x = - 9$

Step 3.2

Subtract $3 x$ from $4 x$ .

$x = - 9$