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Which equation is equivalent to log5x3 - logx2 = 2?.

Sagot :

MrRoyal

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

20soriamatthew39

Answer:

b

Step-by-step explanation:

10^log5x^3/x^2=10^2

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