Final answer:
To find the value of x in the equation 5log₃₃x = 15, divide both sides of the equation by 5 and rewrite in exponential form. The value of x is 33.
Step-by-step explanation:
To find the value of x in the equation 5log₃₃x = 15, we need to isolate x. To do this, we can start by dividing both sides of the equation by 5 to get log₃₃x = 3. Next, we can rewrite the equation in exponential form using the definition of logarithms, which states that logₐb = c is equivalent to a^c = b. In this case, we have 3^3 = 33. So the value of x is 33.