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# If (7^(3/4))^n = 7, what is the value of n?

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Math Expert
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If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

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08 Oct 2018, 02:59
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Difficulty:

5% (low)

Question Stats:

95% (00:31) correct 5% (01:52) wrong based on 108 sessions

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If $$(7^{\frac{3}{4}})^n = 7$$, what is the value of n?

(A) 1/3

(B) 2/3

(C) 4/3

(D) 5/3

(E) 6/3

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Re: If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

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08 Oct 2018, 03:03
Bunuel wrote:
If $$(7^{\frac{3}{4}})^n = 7$$, what is the value of n?

(A) 1/3

(B) 2/3

(C) 4/3

(D) 5/3

(E) 6/3

7^(3/4)^n = 7^1
7^(3/4*n) = 7^1

(3/4)*n = 1
n = 4/3

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Re: If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

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08 Oct 2018, 03:05
The logic is that 7^x will be 7 when x=1.

So C

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If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

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08 Oct 2018, 08:55
Bunuel wrote:
If $$(7^{\frac{3}{4}})^n = 7$$, what is the value of n?

(A) 1/3

(B) 2/3

(C) 4/3

(D) 5/3

(E) 6/3

$$(7^{\frac{3}{4}*\frac{4}{3}}) = 7$$, Hence Answer must be (C)
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If (7^(3/4))^n = 7, what is the value of n?   [#permalink] 08 Oct 2018, 08:55
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