Final answer:
The expression 2⁹=512 can be rewritten in logarithmic form as log₂512=9.
Step-by-step explanation:
To rewrite the expression 2⁹=512 in logarithmic form, we need to express it as a logarithm with a base of 2. The correct answer is option d) log₂512=9.
The logarithmic form of an exponential equation is written as log(base)b=x, where x represents the exponent and b is the base. In this case, the base is 2 and the exponent is 9, so the equation becomes log₂512=9.
Logs help us solve for the exponent in exponential equations and understand the relationship between numbers.