Find each value of e^x to four decimal places:
A. e^10 which = e^(10)
B. (1/e^3)^2
(1/(e^3))^2 =
Unless your school does not allow the use of calculators, in which case a table of logarithms will be supplied, I will assume that the use of calculators is permitted.
Most modern scientific calculators have the functions required to calculate the values above to 8 or 10 figures of accuracy. I will present the answers to 2-3 figurs of accuracy for you as a check.
If you have difficulties, or if calculators are not permitted, please post again.
A. e^10 which = e^(10)
If you have a TI algebraic calculator, press 10 and the buttins (2nd) and LN which is equivalent to ex.
You should get
e10 = 22026.xxxx
B. (1/e^3)^2
(1/e^3)2
= (e-3)2
= e-6
= 0.00xx
I got the answer to the first one. I finally figured out how to use that function. Thanks! NOW what about that second one? How do I punch in the numbers for this one? Thanks!
You do the same thing, except replace 10 with -6, something like
6 +/- (2nd) LN
Got it thanks!
Great!
To find each value of e^x to four decimal places, we can use a calculator or a mathematical software.
A. to find e^10, simply enter "e^10" into a calculator or math software and calculate it. The value of e^10 is approximately 22026.4658.
B. to find (1/e^3)^2, we need to evaluate (1/e^3) first.
To do that, calculate the value of e^3, which is approximately 20.0855.
Next, calculate (1/e^3) by taking the reciprocal of e^3, which gives you 1/20.0855 = 0.04978706837.
Now, square 0.04978706837 to get the final result. The value of (1/e^3)^2 is approximately 0.00247875218.