Respuesta :
The solution of the logarithmic equation is x = 9.
What is logarithm?
Logarithm, a mathematical concept involving multiplication. It is the exponent or power to which a base must be raised to yield a given number.
For the given situation,
The equation is log6 4x^2 - log6 x = 2.
The solution for this logarithmic equation is
⇒ [tex]log_{6} 4x^{2} -log_{6} x=2[/tex]
⇒ [tex]log_{6}( \frac{4x^{2} }{x}) =2[/tex]
⇒ [tex]log_{6}4x=2\\[/tex]
We know that the equation [tex]log_{b}n=x\\[/tex] can be expressed as [tex]b^{x}=n[/tex].
⇒ [tex]4x=6^{2}[/tex]
⇒ [tex]x=\frac{36}{4}[/tex]
⇒ [tex]x=9[/tex]
Hence we can conclude that the solution of the logarithmic equation is x = 9.
Learn more about the logarithms here
brainly.com/question/20785664
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