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If (3)8x - 4 = (9)3x, What is the value of x5?

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If (3)8x - 4 = (9)3x, What is the value of x5?
1. 32
2. 243
3. 64
4. 16
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Correct Answer - Option 1 : 32

Given:

(3)8x - 4 = (9)3x

Concept used:

(am)n = amn

Calculation:

(3)8x - 4 = (9)3x

⇒ (3)8x - 4 = (32)3x

⇒ (3)8x - 4 = (3)6x

According to the concept,

(am)n = amn

8x - 4 = 6x

⇒ 2x = 4 

⇒ x = 2

Now, 

x5 = (2)5 = 32

∴  The value of x5 is 32.

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