Solve for x 8+5^(x-3)=133

$8 + 5^{x - 3} = 133$

Step 1

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

Subtract $8$ from both sides of the equation.

$5^{x - 3} = 133 - 8$

Subtract $8$ from $133$ .

$5^{x - 3} = 125$

Step 2

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

$5^{x - 3} = 5^{3}$

Step 3

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

$x - 3 = 3$

Step 4

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

Add $3$ to both sides of the equation.

$x = 3 + 3$

Add $3$ and $3$ .

$x = 6$