Question

Solve: log5x^3 - logx^2 = 2
x = 20

Answer 1

Yes the answer is 20

Answer 2

To solve this, we will need to use log properties. We know that subtracting two log equations gives us:

`log(5x^(3) )/(x^(2) ) =2`

If log base 10 equals 2, we know that
`(5x^(3) )/(x^(2) )` equals 100. We can solve this by:

`(5x^(3) )/(x^(2) )` = 100

5x³=100x²

x³= 20x²

x³-20x²=0

x²(x-20)=0

Thus, the answer is x=20.