Part a: if (6^2)^x = 1, what is the value of x? explain your answer. (5 points) part b: if (6^9)^x = 1, what are the possible values of x? explain your answer.

Part A: X=0

Part B: x=0

Step-by-step explanation:

Part A

(6^2)^X = 1

Applying the exponent rule:

So, our equation will become:

We know if f(x) = g(x) then ln(f(x))= ln(g(x))

SO, taking natural logarithm ln on both sides and solving.

We know, Applying the rule,

Part B

(6^9)^x = 1

Applying the exponent rule:

So, our equation will become:

We know if f(x) = g(x) then ln(f(x))= ln(g(x))

SO, taking natural logarithm ln on both sides and solving.

We know, Applying the rule,