Final answer:
The equation 11/9log4(x) = 6, when rewritten in the form x = 2(y), yields y as 54/11.
Step-by-step explanation:
To solve the equation 11/9log4(x) = 6, we want to rewrite it in the form x = 2(y). First, we isolate the logarithmic expression by multiplying both sides of the equation by 9/11, which gives us log4(x) = 54/11. Now, to remove the logarithm, we rewrite the equation in exponential form. The base of the logarithm is 4, so we raise 4 to the power of 54/11 to find x. Therefore, x = 454/11. The number y that we're looking for is the exponent, which is 54/11.