Find the Value of x: Math Problem

[fku4321]

(6^x)+1=(2^x)+2
please find the value of x , thanks

 

[Char. Limit]

(6^x)+1=(2^x)+2
please find the value of x , thanks

This should really be in the homework section, but what have you tried?

 

[chiro]

(6^x)+1=(2^x)+2
please find the value of x , thanks

Hello.

Please show working. Thanks.

 

[fku4321]

this isn't homework

 

[Joffan]

about 0.5, comparing √6 to √2

 

[Mentallic]

It doesn't matter, it's a homework style question. You can add why you need it solved etc, and then maybe we'll give a bit of leeway.

 

[fku4321]

my friend asked me this question and i solved for a whole day still can't can get the exact answer 0.48

 

[Mentallic]

The problem is that 0.48 isn't the exact answer. It's only a numerical approximation.
A better approximation is 0.4895363 but even this isn't exact. The exact answer is irrational and doesn't have a closed form solution in terms of surds and logs and whatnot.

If you just wanted to find a numerical approximation however, there are quite a few tools you can use, such as the Newton-Raphson Method.

 

[fku4321]

thanks for your explanation ,it really helps me a lot

 

[micromass]

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