Answer:
To solve this, we will need to use log properties. We know that subtracting two log equations gives us:
[tex]log\frac{5x^{3} }{x^{2} } =2[/tex]
If log base 10 equals 2, we know that [tex]\frac{5x^{3} }{x^{2} }[/tex] equals 100. We can solve this by:
[tex]\frac{5x^{3} }{x^{2} }[/tex] = 100
5x³=100x²
x³= 20x²
x³-20x²=0
x²(x-20)=0
Thus, the answer is x=20.
