Final answer:
To rewrite log₂ (4x+2) = 2 in exponential form using the definition of a logarithm, we can use the fact that logarithms and exponentials are inverse functions.
Step-by-step explanation:
To rewrite log₂ (4x+2) = 2 in exponential form using the definition of a logarithm, we can use the fact that logarithms and exponentials are inverse functions. In general, if logb(x) = y, then x = by.
So, in this case, log₂ (4x+2) = 2 can be rewritten as 4x+2 = 22 = 4. Now we can solve for x by isolating it:
4x+2 = 4
4x = 4 - 2 = 2
x = 2/4 = 1/2
Therefore, the exponential form of log₂ (4x+2) = 2 is 4x+2 = 4, and the solution is x = 1/2.