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If (500)(7,000) = (350)(100^x)
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22 Dec 2014, 07:29
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If (500)(7,000) = (350)(100^x), what is the value of x? (A)5 (B)4 (C)3 (D)2 (E)1
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Re: If (500)(7,000) = (350)(100^x)
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22 Dec 2014, 10:38
(500)(7,000) = (350)(100^x) => (500)(7,000)/350 = 100^x => 10,000 = 100^x => 100^2 = 100^x Since, base is same so powers will be same too. So, x=2 Answer will be D Hope it helps! uday1409 wrote: If (500)(7,000) = (350)(100^x), what is the value of x?
(A)5
(B)4
(C)3
(D)2
(E)1
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Re: If (500)(7,000) = (350)(100^x)
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22 Dec 2014, 14:59
Hi uday1409, When multiplying numbers that end in 0, there's a great "math shortcut" that you can use: Here, we're told... (500)(7000) = 350(100^X) and we're asked for the value of X... Let's start with the "left side" of the equation: (5)(7) = 35 There are two 0s in the first parentheses) and three 0s in the second parentheses, so we'll have FIVE 0s in total (following the 35): 3,500,000 On the "right side" of the equation: We have 350, which is 35 with one 0. We need FOUR MORE 0s for the equation to equal... (100) has two 0s (100^2) = (100)(100) has four 0s So, X MUST = 2.... (350)(100)(100) = 3,500,000 Final Answer GMAT assassins aren't born, they're made, Rich
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Re: If (500)(7,000) = (350)(100^x)
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22 Dec 2014, 18:52
(500)(7,000) = (350)(100^x) 5*7*10^5=5*7*10*10^2x 5*7*10^5=5*7*10^(2x+1) 5=2x+1 x=2



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Re: If (500)(7,000) = (350)(100^x)
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23 Dec 2014, 05:26
(500*7000)=350*100^x ==> 35 00000 = 350 100^x (we need to equal the number of "0" on both sides. Hence 100^x should have four "0" ==> 100^x = 10 000 ==> x=2). Hope it is clear
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Re: If (500)(7,000) = (350)(100^x)
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08 Aug 2018, 07:28
uday1409 wrote: If (500)(7,000) = (350)(100^x), what is the value of x?
(A)5
(B)4
(C)3
(D)2
(E)1 \((500)(7,000) = (350)(100^x)\) Or, \((3500000) = (350)(100^x)\) Or, \(10000 = 100^x\) Thus, x = 2, Answer must be (D)
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If (500)(7,000) = (350)(100^x)
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08 Aug 2018, 09:32
uday1409 wrote: If (500)(7,000) = (350)(100^x), what is the value of x?
(A)5
(B)4
(C)3
(D)2
(E)1 Separate 35 and powers of 10 on both sides \((5*10^2)(7*10^3)=(35*10^1)(100^{x})\)
\((5*7)(10^2*10^3)=(35)(10^1)*(10^2)^{x})\)
\((35)(10^{(2+3)})=(35)(10^1)(10^{(2*x)})\)
\((35)(10^5)=(35)(10^{(1+2x)})\)Factor out 35 (i.e., use only the bases with exponents) \(10^5=10^{(1+2x)}\) Bases are equal. Set the exponents equal \(5=(1+2x)\) \(2x=4\) \(x=2\) Answer B
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If (500)(7,000) = (350)(100^x)
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