What’s the answer to this question below. a b c or d

option C

x = 2 , x = -5

Step-by-step explanation:

You have to remember the "Quotient Rule" for exponent having same base.

The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Here,

base = 12

exponents = (x² + 5x - 4) , (2x + 6)

12^(x² + 5x - 4)  = 12^(2x + 6)

12^((x² + 5x - 4) /(2x + 6)) = 1

12^((x² + 5x - 4) -(2x + 6)) = 1

12^(x² + 5x - 4 - 2x - 6) = 1

12^(x² + 5x - 2x - 4 - 6) = 1

12^(x² + 3x - 10) = 1

ln (12^(x² + 3x - 10)) = ln(1)

(x² + 3x - 10)ln(12) = 0

ln(12) = 0 rejected

x² + 3x - 10 = 0

Now solve the quadratic equations by factorisation.

(x-2)(x+5) = 0

x = 2 , x = -5

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

answer for #1 is c

answer for #2 is d

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