Which of the following shows the extraneous solution to the logarithmic equation below? log3(18x^3)-log3(2x)=log3(144). a. x=-16 b. x=-8 c. x=-4 d. x=-2

Option C. x = -4

Step-by-step explanation:

We have to find the extraneous solution of the given logarithmic equation.

[Since log ()=log a - log b ]

Now

⇒

x =  ±4

Now we put x = 4 in the logarithmic equation

   So x = 4 is the real solution

Now we put x = -4 in the logarithmic equation

Since logarithm of any negative number is not defined so x = -4 will be the extraneous solution.

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step-by-step explanation: