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X=-7
X=-3
x=3 and x=-7
x=7 and x=-3
9
Which of the following shows the extraneous solution to the logarithmic equation?
log4(x)+log4(x-3)-log4(-7x+21)
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Answer 1

The expression log4(x) + log4(x-3) - log4(-7x+21) has an extraneous solution at x = -3.

Step-by-step explanation:

The given expression is log4(x) + log4(x-3) - log4(-7x+21).

To determine if there is an extraneous solution, we need to check if any value of x makes the arguments of the logarithms negative or zero.

By analyzing the expression, we find that x = -3 makes the argument of the second logarithm zero, which leads to a division by zero error. Therefore, x = -3 is the extraneous solution.

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