Final Answer:
The logarithmic equation equivalent to the exponential equation log₂ 16 is 2^x = 16. Option A is answer.
Step-by-step explanation:
The logarithmic equation represents the power to which the base (2) must be raised to obtain the given value (16). In other words, it asks "what power do we need to raise 2 to get 16?".
Therefore, the equivalent logarithmic equation is:
log₂ 16 = x
This equation translates to "2 raised to the power of x equals 16".
In conclusion, the logarithmic equation log₂ 16 is equivalent to the exponential equation 2^x = 16, where x represents the power to which the base (2) must be raised to yield 16. This equivalence highlights the reciprocal relationship between logarithmic and exponential expressions in mathematical notation.
Option A is answer.
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Complete Question
Which logarithmic equation is equivalent to the exponential equation below log₂ 16
A: 2^x = 16.
B: x^2 = 16.
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