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505-555 (Easy)|   Exponents|      
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Bunuel
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If 5^x = 5^(3x), what is the value of x? 06 Jan 2017, 03:05
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B
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Question Stats:

76% (00:36) correct 24% (00:34) wrong based on 176 sessions

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If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.
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B
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If 5^x = 5^(3x), what is the value of x? 06 Jan 2017, 03:16
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Bunuel
If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.
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Though 5^x = 5^(3x) can not be solved algebraically, the equality holds true when x = 0 in which case 1 = 1.
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If 5^x = 5^(3x), what is the value of x? 06 Jan 2017, 07:53
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Bases are equal, so exponents must be equal
3x=x => x=0

B.

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If 5^x = 5^(3x), what is the value of x? 06 Jan 2017, 08:23
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Bunuel
If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.
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\(5^x = 5^{3x}\)

So, \(x = 3x\)

Thus, the only possible answer to the above is only when x = 0

Hence, answer will be (B) 0
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If 5^x = 5^(3x), what is the value of x? 07 Jan 2017, 03:31
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ANS B
PUTTING THE VALUES IN THE EQUATION AND FINDING THE ANSWER.
5^X=5^3X X=0 1=1
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If 5^x = 5^(3x), what is the value of x? 09 Jan 2017, 10:36
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Bunuel
If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.
Show more

Recall that if a^m = a^n, and a is not equal to -1, 0, or 1, then m = n. In other words, if the bases are equal (as long as the base is not -1, 0, or 1), then the exponents are equal. Thus, we can drop the base 5 and set x = 3x. The only value that satisfies the equation is x = 0.

Answer: B
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If 5^x = 5^(3x), what is the value of x? 11 Apr 2017, 01:16
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If 5^x = 5^(3x), then x = 3x so 2x=0 => x=0 Ans. B
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If 5^x = 5^(3x), what is the value of x? 12 Nov 2025, 04:47
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