You can find the answer by substituting the x-values provided in the question and seeing if you get what the question says.
a satisfies all of the parameters.
b doesn’t satisfy g(-1), so it’s not b.
c doesn’t satisfy g(-1), so it’s not c.
d doesn’t satisfy g(-1), so it’s not d.
The correct answer is a.
(x+13)*(x-7)=0
Split into possible cases :
________________________
x+13=0
x-7=0
Solve the equations:
________________________
x= -13
x= 7
Final solution :
If we have:
logₐy = (logₓy) / (logₓa) By change of base formula.
log₁₀65 = (log₁₀₀₀65) / (log₁₀₀₀10)
(log₁₀₀₀65) = log₁₀65 * (log₁₀₀₀10)
log(₁₀₀₀10) = 1/ (log₁₀1000) = 1/(log₁₀10³) = 1/3
(log₁₀₀₀65) = (log₁₀65) * (log₁₀₀₀10)
(log₁₀₀₀65) = 1.812 * (1/3)
(log₁₀₀₀65) = 0.604
I hope this helps.
