A calculus problem by Pranjali Bhargava

Calculus Level 1

Exponential mania

If 3 x + 4 x + 5 x = 6 x {3}^{x} + {4}^{x} + {5}^{x} = {6}^{x} . Find x x


The answer is 3.

Pranjali Bhargava by Pranjali Bhargava , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Bill Bell
Oct 10, 2014

I did it graphically. Wolfram-Alpha succeeded, probably using some numerical method. The formal algebra library that I often use, sympy, failed indicating that it has no algorithms for this type of equation.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

To do these types of questions, i guess one can use graph of e^x . But how can we use it?

Pranjali Bhargava - 6 years, 6 months ago
Pranjali Bhargava
Sep 18, 2014

Does anyone how to solve the question without putting the values randomly?

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Transcendental equation can't be solved by general methods.

Ronak Agarwal - 6 years, 8 months ago

Btw,how this came in calculus?

Anuj Shikarkhane - 6 years, 7 months ago
Ronak Agarwal
Sep 18, 2014

Just check x=3 to get the answer.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Is there any detailed solution

Bhargava S Padmashali - 6 years, 8 months ago

Is there any way to find solution without putting the value randomly?

Pranjali Bhargava - 6 years, 8 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...