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# If (400)(6,000) = (240)(100^x), what is the value of x ?

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Math Expert
Joined: 02 Sep 2009
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If (400)(6,000) = (240)(100^x), what is the value of x ?  [#permalink]

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14 Oct 2019, 08:02
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25% (medium)

Question Stats:

74% (01:07) correct 26% (00:53) wrong based on 78 sessions

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If $$(400)(6,000) = (240)(100^x)$$, what is the value of x ?

(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

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Joined: 02 Aug 2009
Posts: 8183
Re: If (400)(6,000) = (240)(100^x), what is the value of x ?  [#permalink]

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14 Oct 2019, 08:42
Bunuel wrote:
If $$(400)(6,000) = (240)(100^x)$$, what is the value of x ?

(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

$$400*6000=240*100^x......2400000=240*100^x.....240*100^2=240*100^x...x=2$$

D
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Re: If (400)(6,000) = (240)(100^x), what is the value of x ?  [#permalink]

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14 Oct 2019, 08:57
Answer is D. Reason being there would be 5 zeros in the result product out of which 1 zero is taken up by 240. Now remaining 4 zeroes will be adjusted in power of 100 which should be 2 to adjust 4 zeroes.

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Re: If (400)(6,000) = (240)(100^x), what is the value of x ?  [#permalink]

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14 Oct 2019, 09:26
Bunuel wrote:
If $$(400)(6,000) = (240)(100^x)$$, what is the value of x ?

(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

$$(400)(6,000) = (240)(100^x)$$

Or, $$(240)(100^2) = (240)(100^x)$$

Hence, $$x = 2$$, Answer must be (D)
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Re: If (400)(6,000) = (240)(100^x), what is the value of x ?   [#permalink] 14 Oct 2019, 09:26
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