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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)

Sagot :

Answer:

See Explanation

Step-by-step explanation:

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

[tex](26)x = 1[/tex]

[tex](50)x = 1[/tex]

and:

[tex](2^6)^x = 1[/tex]

[tex](5^0)^x = 1[/tex]

Solving: [tex](26)x = 1[/tex]  and  [tex](50)x = 1[/tex]

[tex](26)x = 1[/tex]

Divide both sides by 26

[tex]x = \frac{1}{26}[/tex]

[tex](50)x = 1[/tex]

Divide both sides by 50

[tex]x = \frac{1}{50}[/tex]

Solving [tex](2^6)^x = 1[/tex] and [tex](5^0)^x = 1[/tex]

[tex](2^6)^x = 1[/tex]

Express 1 as 2^0

[tex](2^6)^x = 2^0[/tex]

Remove bracket

[tex]2^{6x} = 2^0[/tex]

Cancel out 2

[tex]6x = 0[/tex]

Divide both sides by 6

[tex]x = \frac{0}{6}[/tex]

[tex]x = 0[/tex]

[tex](5^0)^x = 1[/tex]

Express 1 as 5^0

[tex](5^0)^x = 5^0[/tex]

Cancel out 5^0

[tex]x = 1[/tex]