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What is the value of n if 2 to the power of n equals 20000?
2ⁿ = 20000 → log(2ⁿ) = log(20000) → n log(2) = log(20000) → n = log(20000)/log(2) You can use logs to any base you like as long as you use the same base for each log → n ≈ 14.29
Will a paper float?
As long as it can displace a volume of water equal to its mass (ie its density is less than that of the water) it will float. Most paper will have a density less than that of water (or can be so folded) so will float.
Where can one purchase log houses?
There are a large number of different places you can go to in order purchases log houses. A particularly good one is Screwfix as you can get log houses at very good prices as long as you are willing to assemble it yourself.
What is x when 5 raised to the x-2 equals 70?
5x-2 = 70 ⇒ (x-2) log 5 = log 70 ⇒ x = log 70/log 5 + 2 ≈ 4.640 (You can use any base you like for the logs, as long as you use the same base for both of them.)
Using a constant rate you can saw a log into 3 pieces in 12 minutes at the same rate how long will it take you to cut a similar log into 6 pieces?
24
