1. ## log equation

2^x3=3^x^2

2. Originally Posted by alessandromangione
2^x3=3^x^2
This is near impossible to read.

Is it $2^{x^3} = 3^{x^2}$?

3. yeap...sorry...

4. $2^{x^3} = 3^{x^2}$

$\ln{\left(2^{x^3}\right)} = \ln{\left(3^{x^2}\right)}$

$x^3\ln{2} = x^2\ln{3}$

$\frac{x^3}{x^2} = \frac{\ln{3}}{\ln{2}}$

$x = \frac{\ln{3}}{\ln{2}}$.

5. Hello everyone

Don't forget that there's another solution to the equation
$x^3\ln2 =x^2\ln3$ besides $x=\frac{\ln3}{\ln2}$, and that is
$x=0$