Posted by **Rachel** on Sunday, February 13, 2011 at 4:31pm.

how do you solve the exponential equation, 12^x = 14^3x?

If someone could show me step by step I would greatly appreciate it.

thank you! :)

- math -
**Henry**, Tuesday, February 15, 2011 at 4:31pm
(12)^x = (14)^3x.

X*log12 = 3X*log14,

X * 1.08 = 3X * 1.15,

1.08X = 3.45X,

1.08X - 3.45X = 0,

-2.37X = 0,

X = 0 / -2.37 = 0.

CHECK:

(12)^0 = (14)^0,

Any number raised to the zero power=1:

1 = 1.

## Answer this Question

## Related Questions

- Calculus - Hello, I really need help on these two homework problem. >< In ...
- math - Can someone please show me step by step how to solve this, I've been ...
- algebra - solve each exponential equation. Given the value for x 8^x=1/64 3^x=6 ...
- TRIGONOMETRY - Can someone please show me step by step solutions? I'd appreciate...
- Algebra 1--Step-by-Step - Can someone show me how to solve these step-by-step? ...
- Pre-Algebra [urgent!] - I can't find the solution to this problem; can someone ...
- algebra - Im lost i dont know how to do this can someone show me step by step ...
- algebra - Im lost i dont know how to do this can someone show me step by step ...
- Pre-Algebra - Can someone show me how to answer these questions step-by-step? ...
- Precalculus - This is for solving exponential/logarithmic functions: (This is a ...