Question

100 Points!

Part A: If (2^6)^x = 1, what is the value of x? Explain your answer. (5 points)

Answer 1

x=0

Explanation:

(2^6)^x = 1

We know that a^b^c = a^(bc)

2^(6x) = 1

Take the ln of each side

ln(2 ^ (6x)) = ln(1)

Using the rule ln a^b = b ln a

6x ln 2 = ln 1

We know ln 1 =0

6x ln 2 = 0

Divide each side by ln 2

6x = 0

x =0