Final answer:
The logarithmic form of (35)⁵=2433,125 is log₃₅(2433,125) = 5, indicating that 35 raised to the power of 5 equals 2433,125.
Step-by-step explanation:
To write the expression (35)⁵=2433,125 in logarithmic form, we need to understand that the logarithm is the inverse operation of exponentiation. Logarithms express the power to which a number (the base) must be raised to produce a given number. Therefore, the logarithmic form of the given expression is log₃₅(2433,125) = 5.
This is because 35 raised to the power of 5 equals 2433,125. In logarithmic terms, we are asking to what power must 35 be raised to get 2433,125, and the answer is 5. This is in alignment with the properties of logarithms that allow us to relate exponentials and logarithms seamlessly.
The logarithmic form of (35)⁵=2433,125 is log₃₅(2433,125) = 5, indicating that 35 raised to the power of 5 equals 2433,125.