Final answer:
The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. Therefore, we can express a number raised to an exponent as a difference of logarithms without using exponents.
Step-by-step explanation:
The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. Similarly, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. Therefore, we can express a number raised to an exponent as a difference of logarithms without using exponents.
For example, if we have the number 4 raised to the power of 3, we can express it as:
43 = (10log 4)3 = 103 * log 4
This way, we have expressed the number 4 raised to the power of 3 using logarithms without exponents.