Final answer:
The exponential equation 216 = (1/6)^x can be expressed in logarithmic form as log_(1/6)216 = x. Logarithmic form uses the inverse relationship between logarithms and exponents to represent the same equation. For example, the common logarithm of 60 is approximately 1.7782.
Step-by-step explanation:
The exponential equation given is 216 = (1/6)^x. To write this in logarithmic form, you recall that the logarithmic form of an exponential equation like a^b = c is log_a(c) = b. Therefore, the logarithmic form of the given equation is log_(1/6)216 = x.
To illustrate this, consider another example: if we had 2^3 = 8, the logarithmic form would be log_2(8) = 3. But for calculating the natural or common logarithm, like the common logarithm of 60, which is approximately 1.7782, the base is implied to be 10. So, log(60) simply means log_10(60).