Well, isn't that a happy little question! The natural log of 100 is approximately 4.605. Just like painting a beautiful landscape, math can also create its own kind of beauty. Keep exploring the wonders of numbers and you'll uncover even more delightful surprises along the way.
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The natural log of 100 is about 4.605. The transcendental number e (about 2.718281828) raised to the power of 4.605 is 100.
Natural log.
Natural Log; It's a logarithm with a base of e, a natural constant.
Do you mean y=x^2.5? I you had y=13^2.77, it's easier to use log. log y=2.77*log13 ~ 3.0856. 1217.9 is the antilog and answer.x=1217.9 But math can be more complicated. How about y^2.5=x^1.8. Logs really shine here. Take log of both sides. 2.5*log y = 1.8 log x. Say x=100 and 1.8 log 100 = 1.8*2=3.6. We have 2.5 log y = 3.6 and log y = 3.6/2.5 = 1.44. Now y = antilog 1.44=27.54229. So does 27.54229^2.5 = 100^1.8 ? Yes it does.
The log or logarithm is the power to which ten needs to be raised to equal a number. Log 10=1 because 10^1=10 Log 100=2 because 10^2=100 Sometimes we use different bases. Like base 2. Then it is what 2 is raised by to get the number. Log "base 2" 8=3 because 2^3=8
2 log(x) + 3 log(x) = 105 log(x) = 10log(x) = 10/5 = 210log(x) = (10)2x = 100