# Transcendental Numbers...1

Discussion in 'Other Pre-University Math' started by nycmathguy, Jun 1, 2022.

1. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
What is e^(pi)?

What is pi^(e)?

Can the above be done without a calculator?

nycmathguy, Jun 1, 2022
2. ### MathLover1

Joined:
Jun 27, 2021
Messages:
2,989
2,884
NO, have to use calculator

MathLover1, Jun 1, 2022
nycmathguy likes this.
3. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
Ok. Got it.

Check this out:

Infinity...4

nycmathguy, Jun 1, 2022
4. ### HallsofIvy

Joined:
Nov 6, 2021
Messages:
161
78
Do you remember when calculators did not exist? I do!
We used tables of logarithms.
$\log(e^{\pi}}= \pi \log(e)= 3.1416(0.4343)= 1.3644$.
The you look up 0,3644 in the body of the table to see that 0.3644 is the logarithm of 2.3142. Multiplying that by 10, for the leading "1", $e^{\pi}= 23.142$.

Similarly, $\log(\pi^e}= e \log(\pi)= 2.7183(0.4971)= 1.3514$
Look up 0,3514 in the body of the table to see that 0,3514 is the logarithm of 2.2459. Multiplying that by 10, for the leading "1", $\pi^e= 22.459$.

HallsofIvy, May 4, 2024
5. ### RobertSmart

Joined:
Apr 9, 2024
Messages:
25
4
What is e^pie?
The value of e^pie is approximately 23.1407.

What is pi^e?
The value of pi^e is approximately 22.4592.|

These calculations are typically done using a calculator or computer, as they involve irrational numbers and transcendental functions. While some approximations or logarithmic methods might provide rough estimates, precise values cannot be computed accurately without the aid of a calculator.

It is not the easy task to complete these types of question. You need to practice it more and solve a lot of assignments to get complete command on it. You can find the samples or get assignment assistance related to it at mathsassignmenthelp website. You can also contact them at: +1 (315) 557-6473.

RobertSmart, May 22, 2024