To convert the logarithmic equation [tex]\(\log_2 32 = 5\)[/tex] into its exponential form, we follow these steps:
1. Identify the base of the logarithm, which is 2 in this case.
2. Recognize the value on the right side of the equal sign, which is 5. This represents the exponent.
3. Understand that the number inside the logarithm, 32, is the result of raising the base to the power of the exponent.
The exponential form of the logarithmic equation is written by placing the base with the exponent equal to the result.
Thus, the exponential form of [tex]\(\log_2 32 = 5\)[/tex] is:
[tex]\[ 2^5 = 32 \][/tex]
