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Question

Question
Rewrite log216=4
as an exponential equation.(1 point)
Responses

216=4
2 superscript 16 baseline equals 4

42=16
4 squared equals 16

24=16
2 superscript 4 baseline equals 16

162=4

Answer 1

To rewrite the logarithmic equation \( \log_2{16} = 4 \) as an exponential equation, we convert it to the form \( b^y = x \), where \( b \) is the base, \( y \) is the logarithm result, and \( x \) is the argument of the logarithm.

In this case:

• Base \( b = 2 \)
• Result \( y = 4 \)
• Argument \( x = 16 \)

Thus, the equivalent exponential form is:

\[ 2^4 = 16 \]

So the correct response is:

\( 2^4 = 16 \).