Final answer:
The unknown value in the equation log₃y=4 is found by converting the logarithmic expression to its exponential form, which gives y = 3^4, and calculating the result as y = 81.
Step-by-step explanation:
To determine the value of the unknown in the equation log₃y=4, we need to understand that the equation is in logarithmic form and can be converted to exponential form to solve for y. The exponential form of log₃y=4 is y = 34. Using this conversion, we can calculate the value of y as follows:
- y = 34
- y = 3 * 3 * 3 * 3
- y = 81
Therefore, the value of y is 81.