Final answer:
To solve the equation 216^(t+18) = 36^(2t+18), take the logarithm of both sides and use the properties of logarithms to simplify the equation.
Step-by-step explanation:
The given equation is 216(t+18) = 362t+18.
To solve for t, we can take the logarithm of both sides of the equation.
Taking the base 6 logarithm, we have:
t + 18 = log6(362t+18)
Using the property of logarithms, we can simplify further:
t + 18 = (2t+18) * log6(36)
By solving this equation, we can find the value of t.