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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?

In general, many financial experts support their clients’ desire to buy cryptocurrency, but they don’t recommend it unless clients express interest. “The biggest concern for us is if someone wants to invest in crypto and the investment they choose doesn’t do well, and then all of a sudden they can’t send their kids to college,” says Ian Harvey, a certified financial planner (CFP) in New York City. “Then it wasn’t worth the risk.” The speculative nature of cryptocurrency leads some planners to recommend it for clients’ “side” investments. “Some call it a Vegas account,” says Scott Hammel, a CFP in Dallas. “Let’s keep this away from our real long-term perspective, make sure it doesn’t become too large a portion of your portfolio.” In a very real sense, Bitcoin is like a single stock, and advisors wouldn’t recommend putting a sizable part of your portfolio into any one company. At most, planners suggest putting no more than 1% to 10% into Bitcoin if you’re passionate about it. “If it was one stock, you would never allocate any significant portion of your portfolio to it,” Hammel says.

Importantly, that investor viewpoint is not new. It cycles in when conditions are right (and vice versa). It also brings the ineffective warnings of an overpriced market with it.Looking toward a good 2022 stock market, there is no apparent reason to expect these issues to change.

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