Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
<h3>What is the Logarithm function?</h3>
A log function is a way to find how much a number must be raised in order to get the desired number.
![a^c =b](https://tex.z-dn.net/?f=a%5Ec%20%3Db)
can be written as
![\rm{log_ab=c](https://tex.z-dn.net/?f=%5Crm%7Blog_ab%3Dc)
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
Given to us
2⁵ = 32
As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,
![2^5 = 32\\\\\rm log_2 32 = 5](https://tex.z-dn.net/?f=2%5E5%20%3D%2032%5C%5C%5C%5C%5Crm%20log_2%2032%20%3D%205)
Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
Learn more about Logarithmic function:
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