Final answer:
The logarithmic equation log₃ (h) = 45 in exponential form is 345 = h, which shows that 3 raised to the power of 45 equals h.
Step-by-step explanation:
To convert the logarithmic equation log₃ (h) = 45 to exponential form, we use the definition of logarithms. The logarithm log₃(h) tells us what power we must raise 3 to in order to get h. Therefore, we can rewrite the equation as 345 = h.
In this case, the exponent is 45 and the base of the logarithm is 3. This format leverages our understanding of logarithms as exponents, and the conversion process is an application of the basic logarithmic identity that relates logarithms and exponentiation.