Question

Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answer 1

See Explanation

Explanation:

The question is not clear. However, I will treat the question as:

`(26)x = 1`

`(50)x = 1`

and:

`(2^6)^x = 1`

`(5^0)^x = 1`

Solving:
`(26)x = 1` and
`(50)x = 1`

`(26)x = 1`

Divide both sides by 26

`x = (1)/(26)`

`(50)x = 1`

Divide both sides by 50

`x = (1)/(50)`

Solving
`(2^6)^x = 1` and
`(5^0)^x = 1`

`(2^6)^x = 1`

Express 1 as 2^0

`(2^6)^x = 2^0`

Remove bracket

`2^(6x) = 2^0`

Cancel out 2

`6x = 0`

Divide both sides by 6

`x = (0)/(6)`

`x = 0`

`(5^0)^x = 1`

Express 1 as 5^0

`(5^0)^x = 5^0`

Cancel out 5^0

`x = 1`