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

Question

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

falewman · Answer

Though 5^x = 5^(3x) can not be solved algebraically, the equality holds true when x = 0 in which case 1 = 1.

Sirakri · Answer

Bases are equal, so exponents must be equal
 3x=x => x=0

B.

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Abhishek009 · Answer

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

siddharththe1 · Answer

ANS B
PUTTING THE VALUES IN THE EQUATION AND FINDING THE ANSWER.
5^X=5^3X X=0 1=1

ScottTargetTestPrep · Answer

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

AnisMURR · Answer

If 5^x = 5^(3x), then x = 3x so 2x=0 => x=0 Ans. B

bumpbot · Answer

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

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

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