Final answer:
The logarithmic expression log₃81 =4 is equivalent to the exponential form 3⁴ = 81.
Step-by-step explanation:
The expression log₃81=4 can be rewritten in equivalent exponential form by recognizing that a logarithm represents the exponent to which a base number must be raised to produce a certain value. we use the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. In this case, the base is 3 and the value is 81. The exponent the base must be raised to is 4. So, the equivalent exponential form of the expression is 3⁴ = 81. This denotes that 3 raised to the power of 4 equals 81.