Solve by Factoring 8+10^x=1008

$8 + 10^{x} = 1008$

Step 1

Subtract $1008$ from both sides of the equation.

$8 + 10^{x} - 1008 = 0$

Step 2

Subtract $1008$ from $8$ .

$- 1000 + 10^{x} = 0$

Step 3

Add $1000$ to both sides of the equation.

$10^{x} = 1000$

Step 4

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

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

Step 5

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

$x = 3$