The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]\rm a^c=b[/tex] can be written as [tex]\rm log_ab=c[/tex].
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,
[tex]\rm 2^5=32\\\\log_25=5[/tex]
Hence, The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
To know more about logarithmic equations click the link given below.
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