Question

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

Answer 1

The equivalent equation of the logarithmic equation $\mathbf{log5x^3 - logx^2 = 2}$ is $\mathbf{5x= 10^2}$

The logarithmic equation is given as:

$\mathbf{log5x^3 - logx^2 = 2}$

Apply quotient law of logarithm:

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

Divide 5x^3 by x^2

$\mathbf{log(5x)= 2}$

Remove the logarithm, by rewriting the equation as:

$\mathbf{5x= 10^2}$

Hence, the equivalent equation of the logarithmic equation $\mathbf{log5x^3 - logx^2 = 2}$ is $\mathbf{5x= 10^2}$

Read more about equivalent equations at:

brainly.com/question/15715866

Answer 2

Answer:

b

Step-by-step explanation:

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