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If $2^{2 x - 1} = 8^{3 - x}$ , then the value of $x$ is:

Competition practiceNumber & Arithmetic

A2
B1
C3
D4

Step-by-Step Solution

Write 8 as

2^{3} : 8^{3 - x} = 2^{9 - 3 x}

. Equal bases give

2 x - 1 = 9 - 3 x

, so

5 x = 10

and

x = 2

.

Answer: A) 2

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