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If (400)(6,000) = (240)(100^x), what is the value of x ?
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09 Dec 2021, 08:42
09 Dec 2021, 08:42
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Question Stats:
65% (01:05) correct
35% (01:20) wrong based on 20 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
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
Re: If (400)(6,000) = (240)(100^x), what is the value of x ?
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09 Dec 2021, 09:10
09 Dec 2021, 09:10
(2^2 × 10^2)(2*3*10^3) = (2^3*3*10)(10^2x)
2^3 * 3 * 10^5 = 2^3 * 3 * 10^(1+2x)
10^5 = 10^(1+2x)
5 = 1+2x
4 = 2x
2 = x
Ans - D
Posted from my mobile device
2^3 * 3 * 10^5 = 2^3 * 3 * 10^(1+2x)
10^5 = 10^(1+2x)
5 = 1+2x
4 = 2x
2 = x
Ans - D
Posted from my mobile device
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Re: If (400)(6,000) = (240)(100^x), what is the value of x ?
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09 Dec 2021, 09:49
09 Dec 2021, 09:49
Carcass wrote:
If \((400)(6,000) = (240)(100^x)\), what is the value of x ?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
Given: \((400)(6,000) = (240)(100^x)\)
Divide both sides of the equation by \(40\) to get: \((10)(6,000) = (6)(100^x)\)
Divide both sides of the equation by \(6\) to get: \((10)(1,000) = 100^x\)
Simplify the left side of the equation: \(10,000 = 100^x\)
Since we know that \(100^2 = 10,000\), the correct answer here is \(x = 2\)
Answer: D
