Question

Pls answerrrerrrrrrrr

Answer 1

Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1