Logarithm helps to find how much a number must be raised. The value of x in the function logₓ729=3 is 9.
<h3>What is Logarithm?</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.
We know the basics of logarithms, therefore, we can write,
![\rm log_x 729 = 3\\\\x^3 = 729\\\\x = 9](https://tex.z-dn.net/?f=%5Crm%20log_x%20729%20%3D%203%5C%5C%5C%5Cx%5E3%20%3D%20729%5C%5C%5C%5Cx%20%3D%209)
Hence, the value of x in the function logₓ729=3 is 9.
Learn more about Logarithms:
brainly.com/question/7302008