Cover a variety of topics and share a variety of discussions
Use your mind to write unique reviews
Take a look, think about it, talk about it
Focus on having something new to talk about every day
Today's new conversations:
Which is bigger 5⁴³²¹ or 4⁵³²¹?
Answer: Lord, where you went to elementary school, I asked my son to enroll
In the past, the math score was average.,But it doesn't seem right.,4 is the first to operate with the exponent.,Take out a how can you calculate the base first.,2× (the third power of 2) doesn't seem to be equal to the three powers of 4 [cover your face]
A five-digit power and a four-digit power, elementary school students can probably see who is bigger, your mathematical logic is not rigorous at all, give up
Not necessarily, this question is to catch up. If it's 3⁵³²¹ and 4⁴³²¹, it's not the same.
You're not an ordinary high school student anymore, you're already an excellent high school student
The advantage of this answer is that it is easy to calculate.
The question is!
When you got the question, where did you start your thinking?
Comparison of 886 and 864?
Or is it 4 to the 6th power and 5 to the 5th power?
Why?
If I can't explain the starting point of the idea, I think it's more like knowing the answer and referring to other people's solution ideas.
Fortunately, the calculation is simple, and I hope that the answerer can share the idea of solving the problem.
This estimation principle is actually the same as the above, all of which are to find an approximate base to the nth power, but it just so happens that you use 10 to approximate the number of digits, and the error is still a little larger than the one above, after all, it is more than 20 worse, but the comparison of digits is really high-end at first glance. [covers face]
Answer: I took it for granted, thinking that your logarithmic calculation is not calculated by hand with the help of calculation tools [covering my face] I brought this question into the college entrance examination environment [covering my face]
If you learn logarithms, you can use log directly on both sides to compare the size of the two sides in a concise way.
Left vs. right
log5^4321 对比 log4^5321
4321*log5 对比 5321*log 4
1 对比 ( 5321/4321)* (log4/log5 )
1 vs 1.083
So the right side is bigger than the left side.