The equivalent equation of the logarithmic equation [tex]\mathbf{log5x^3 - logx^2 = 2}[/tex] is [tex]\mathbf{5x= 10^2}[/tex]
The logarithmic equation is given as:
[tex]\mathbf{log5x^3 - logx^2 = 2}[/tex]
Apply quotient law of logarithm:
[tex]\mathbf{log(\frac{5x^3}{x^2}) = 2}[/tex]
Divide 5x^3 by x^2
[tex]\mathbf{log(5x)= 2}[/tex]
Remove the logarithm, by rewriting the equation as:
[tex]\mathbf{5x= 10^2}[/tex]
Hence, the equivalent equation of the logarithmic equation [tex]\mathbf{log5x^3 - logx^2 = 2}[/tex] is [tex]\mathbf{5x= 10^2}[/tex]
Read more about equivalent equations at:
https://brainly.com/question/15715866
