Final answer:
The logarithmic form of 9^2 = 81 is expressed as log₉ 81 = 2, indicating that the base 9 raised to the power of 2 equals 81.
Step-by-step explanation:
The logarithmic form of 9^2 = 81 is log₉ 81 = 2. This means that 9 must be raised to the power of 2 to get 81. Logarithms express the relationship between the base (in this case, 9) and the result (in this case, 81), with the logarithm being the exponent. As per the properties of logarithms, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. Therefore, the common logarithm of 60, which lies between 10 and 100, is 1.7782 because 10 must be raised to the power of 1.7782 to equal 60.