If 2^{2n - 1} = 1/ 8^{n-3 }, then find the value of n.

Surds and Indices Practice Test 1

Question : 16 of 40

Marks: +1, -0

2^{2n - 1} = 1/ 8^{n-3 }

, then find the value of n.

Solution:

2^{2n - 1} = 1/ 8^{n-3 }

⇒2^{2n - 1} = (2^3)^{ 3 -n}

⇒2^{2n - 1} = (2 )^{ 9 -3n}

⇒2n-1=9-3n

⇒n=2

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