Solve for x: 8(x-5)^2-32=0

x= 3 or x= 7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x2−80x+168=0

Step 2: Factor left side of equation.

8(x−3)(x−7)=0

Step 3: Set factors equal to 0.

x−3=0 or x−7=0

x=3 or x=7

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: