The value of x is 20 in the logarithm equation log5x³ - logx² = 2 after applying the property of log.
What is a logarithm?
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
We have:
[tex]\rm log5x^3 - logx^2 = 2[/tex]
From the property of division of log:
log(5x³/x²) = 2
Since, x ≠ 0
log(5x) = 2
5x = 10² (removing log)
x = 20
Thus, the value of x is 20 in the logarithm equation log5x³ - logx² = 2 after applying the property of log.
Learn more about the Logarithm here:
brainly.com/question/163125
#SPJ5
