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Answer to Q143

2ˣ + 2ˣ⁻¹ = 6144. Find x

This is eqn i: 2ˣ + 2ˣ⁻¹ = 6144

eqn i can be rewritten as:
2ˣ + (2ˣ ÷ 2) = 6144 eqn ii

2ˣ (1 + ½) = 6144
2ˣ (³⁄₂) = 6144 eqn iii

divide eqn iii through by ³⁄₂
2ˣ = 6144 ÷ ³⁄₂
2ˣ = 6144 x ⅔
2ˣ = 4096

logarithm rule comes in here
log⁴⁰⁹⁶ ÷ log² = x
x = 12

Answer: 12



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Answer to Q143

2ˣ + 2ˣ⁻¹ = 6144. Find x

This is eqn i: 2ˣ + 2ˣ⁻¹ = 6144

eqn i can be rewritten as:
2ˣ + (2ˣ ÷ 2) = 6144 eqn ii

2ˣ (1 + ½) = 6144
2ˣ (³⁄₂) = 6144 eqn iii

divide eqn iii through by ³⁄₂
2ˣ = 6144 ÷ ³⁄₂
2ˣ = 6144 x ⅔
2ˣ = 4096

logarithm rule comes in here
log⁴⁰⁹⁶ ÷ log² = x
x = 12

Answer: 12

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Should You Buy Bitcoin?

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The lead from Wall Street offers little clarity as the major averages opened lower on Friday and then bounced back and forth across the unchanged line, finally finishing mixed and little changed.The Dow added 33.18 points or 0.10 percent to finish at 34,798.00, while the NASDAQ eased 4.54 points or 0.03 percent to close at 15,047.70 and the S&P 500 rose 6.50 points or 0.15 percent to end at 4,455.48. For the week, the Dow rose 0.6 percent, the NASDAQ added 0.1 percent and the S&P gained 0.5 percent.The lackluster performance on Wall Street came on uncertainty about the outlook for the markets following recent volatility.

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