Question

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

Answer 1

Yes the answer is 20

Answer 2

Answer:

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

$log\frac{5x^{3} }{x^{2} } =2$

If log base 10 equals 2, we know that $\frac{5x^{3} }{x^{2} }$ equals 100. We can solve this by:

$\frac{5x^{3} }{x^{2} }$ = 100

5x³=100x²

x³= 20x²

x³-20x²=0

x²(x-20)=0

Thus, the answer is x=20.