Final Answer:
The exponential form of the equation log₂ 128 = 7 is 2^7 = 128.
Step-by-step explanation:
In logarithmic form, log₂ 128 = 7, the base 2 is raised to the power of 7 to produce the result of 128. Rewriting this equation in exponential form involves expressing the base (2) and exponent (7) in a way that equals the logarithmic term. The correct exponential form is 2^7 = 128.
Understanding the relationship between logarithmic and exponential forms is essential in mathematics. In this case, log₂ 128 = 7 signifies that 2 raised to the power of 7 equals 128. The logarithm, exponent, and base are interconnected, and being able to transition between these forms is a key skill in solving logarithmic equations.
In summary, the exponential form 2^7 = 128 corresponds to the logarithmic equation log₂ 128 = 7. This conversion demonstrates the reciprocal nature of logarithmic and exponential expressions, providing a clear representation of the mathematical relationship between the two forms.