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04 Feb 2022, 09:15
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If \(5^{(x + 1)} − 5^x = 5^5(10^2)\), then what is the value of x?
A. 5
B. 6
C. 7
D. 8
E. 9
A. 5
B. 6
C. 7
D. 8
E. 9
04 Feb 2022, 09:33
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5^(x+1) - 5^x = 5^5 * 10^2 = 5^7 * 4
(5^x) * 5 -5^x = 5^7 * 4
5^x * 4 = 5^7 * 4
x = 7
(5^x) * 5 -5^x = 5^7 * 4
5^x * 4 = 5^7 * 4
x = 7
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04 Feb 2022, 11:12
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5^(x+1) - 5^(x)
= (5^x)*[ 5 - 1 ]
= (5^x)*[ 4 ]
= (5^x)*(2^2)
(5^5)*(10^2)
= (5^5)*(5^2)*(2^2)
= (5^7)*(2^2)
Therefore, x = 7. Hence, option C.
Posted from my mobile device
= (5^x)*[ 5 - 1 ]
= (5^x)*[ 4 ]
= (5^x)*(2^2)
(5^5)*(10^2)
= (5^5)*(5^2)*(2^2)
= (5^7)*(2^2)
Therefore, x = 7. Hence, option C.
Posted from my mobile device
