Question

If (6x)^6=6^2^3 then find the value of x?

Answer 1

Answer:

1

Step-by-step explanation:

(6x)^6=6^2^3

=>(6x)^6=(6²)^3

=>(6x)^6=6^6

=>6x=6[∵The powers are same. bases can be equated]

=>x=6/6

=>x=1 (Ans)

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Answer 2

Answer:

(6x)⁶ = 6²^³

= 6⁶. x⁶= 6⁸

= x⁶= 6⁸/6⁶

=x⁶=6^8-6

=x⁶= 6²

Now, on putting 6th root on both sides.. we get,

x⁶×⅙ = 6 ²×⅙

=x=6 ⅓

=x = ³√6