What is the exact solution to the equation 2x 2=52x?

x = 0 OR x = 26

Step-by-step explanation:

i'm going to assume that second 2 on the left side of the equation is supposed to be an exponent?

start by getting the x term on only one side:

2x^2=52x

2x^2-52x = 0

factor:

2x (x - 26) = 0

according to the zero factor principle (ab = 0 means a=0 or b=0):

x=0 or x-26=0

final answers: x = 0 or x = 26

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: