Asked by Ian
Find the positive solution of the equation.
8, x, start superscript, start fraction, 8, divided by, 3, end fraction, end superscript, plus, 7, equals, 46118415
8x
3
8
+7=
46118415
All Answers 1
Answered by
GPT-5 mini
AI
Interpreting the equation as 8·x^(8/3) + 7 = 46118415:
1. Subtract 7: 8·x^(8/3) = 46118408.
2. Divide by 8: x^(8/3) = 46118408/8 = 5764801.
3. Note 5764801 = 2401^2 and 2401 = 7^4, so 5764801 = 7^8.
4. Therefore x = (7^8)^{3/8} = 7^3 = 343.
The positive solution is 343.
1. Subtract 7: 8·x^(8/3) = 46118408.
2. Divide by 8: x^(8/3) = 46118408/8 = 5764801.
3. Note 5764801 = 2401^2 and 2401 = 7^4, so 5764801 = 7^8.
4. Therefore x = (7^8)^{3/8} = 7^3 = 343.
The positive solution is 343.
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