Final answer:
To solve the logarithmic equation log₄ (256) = x, we rewrite it as 4^x = 256 and solve for x. The value of x is 4.
Step-by-step explanation:
To solve the logarithmic equation, log₄ (256) = x, we need to determine the value of x.
In this equation, the base of the logarithm is 4, and the result is 256.
The equation can be rewritten as 4x = 256.
To solve for x, we need to find the exponent that 4 needs to be raised to in order to equal 256.
In this case, 4x = 256 can be simplified to 4x = 44 since 256 is equal to 44. Therefore, x = 4.