Surds and Indices Practice Test 2

Question : 15 of 17

Marks: +1, -0

Given that

3^x- 3^{x -1 }= 18

, then find the value of

x^x

Solution:

3^x- 3^{x -1 }= 18

⇒x^{x-1}(3-1)=18

⇒3^{x-1}=9

⇒3^{x-1}=3^2

⇒x=3

Now,

x^x=3^3=27

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