# (6^x)+1 = (2^x)+2

1. Apr 6, 2012

### fku4321

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

2. Apr 6, 2012

### Char. Limit

Re: (6^x)+1=(2^x)+2

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

3. Apr 6, 2012

### chiro

Re: (6^x)+1=(2^x)+2

Hello.

4. Apr 6, 2012

### fku4321

Re: (6^x)+1=(2^x)+2

this isn't homework

5. Apr 6, 2012

### Joffan

Re: (6^x)+1=(2^x)+2

about 0.5, comparing √6 to √2

6. Apr 6, 2012

### Mentallic

Re: (6^x)+1=(2^x)+2

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.

7. Apr 6, 2012

### fku4321

Re: (6^x)+1=(2^x)+2

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

8. Apr 6, 2012

### Mentallic

Re: (6^x)+1=(2^x)+2

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.

9. Apr 6, 2012

### fku4321

Re: (6^x)+1=(2^x)+2

thanks for your explanation ,it really helps me a lot

10. Apr 6, 2012

### micromass

Staff Emeritus
Re: (6^x)+1=(2^x)+2