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If 38x = 813x−2, what is the value of x?
  • a)
    -2
  • b)
    0
  • c)
    2
  • d)
    3
  • e)
    4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 38x = 813x−2, what is the value of x?a)-2b)0c)2d)3e)4Correct ...
The correct answer is c. To solve this problem, recall that 81 = 34. Then 813x-2 = (34)3x-2 = 34(3x-2).
Further, if 38x = 813x-2, then 38x = 34(3x-2) and 8x = 4(3x - 2), 12x - 8.
Subtracting 8x from both sides and adding 8 to both sides yields 4x = 8, or x = 2.
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Most Upvoted Answer
If 38x = 813x−2, what is the value of x?a)-2b)0c)2d)3e)4Correct ...
To solve for x, we can set up an equation:

38x = 813x

We want to isolate x on one side of the equation, so we can subtract 38x from both sides:

38x - 38x = 813x - 38x

0 = 775x

Now, we can divide both sides by 775 to solve for x:

0/775 = 775x/775

0 = x

Therefore, x = 0.
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If 38x = 813x−2, what is the value of x?a)-2b)0c)2d)3e)4Correct answer is option 'C'. Can you explain this answer?
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