Question

8. While solving the equation log,(8x) – log,(x2 - 1) = log, 3, Karla found possible solutions at x=3

Answer 1

The possible solution to the equation given is 3 and -1/3

Laws of logarithm

Given the logarithmic expression given as:

log,(8x) – log,(x^2 - 1) = log, 3

Applying the product and quotient rule will give:

log(8x/x^2-1) = log3

8x/x^2-1 = 3

Cross multiply

8x = 3x^2 - 3

3x^2 - 8x - 3 = 0

3x^2 -9x + x - 3 = 0

3x(x-3)+1(x-3)

x - 3 = 0 and 3x = -1

x = 3 and -1/3

Hence the possible solution to the equation given is 3 and -1/3

Learn more on logarithm here: brainly.com/question/25710806