I am trying to find the intersection point betweens 2 exponential functions, where the x of the point of intersection is:
$5 \cdot 3^x - 7 = 2^{x+3}$
I found myself stuck at
$x = \log_3( (2^{x+3} + 7 ) / 5 )$
How can I solve this equation for x?
On my calculator, I found that the answer is supposed to be
$x\approx 1.73$
Wolfy gets the numerical root as about 1.7348162477070183112.
The inverse symbolic calculator doesn't return anything.
My guess is that this is a JaN (Just a Number) with no redeeming value.