Is it possible to solve this equation mathematically?

[Suy]

without using the graphing calculator to find the intersect
is it possible to solve this?
i tried this solve this equation a long time, i still can't solve for x...
log(x)/log(4)=(2^x)-6

 

[HallsofIvy]

without using the graphing calculator to find the intersect
is it possible to solve this?
i tried this solve this equation a long time, i still can't solve for x...
log(x)/log(4)=(2^x)-6

Generally speaking, a function having the unknown x both inside and outside transcendental function- and here e^{x is the inverse of ln(x) so ex is "doubly" outside ln(x)!- with elementary functions. You might be able solve it using "Lambert's W function" which is defined as the inverse f(x)= xex. That is, W(xex)= x.}

 

[Suy]

is this university stuff?
cuz i just started learning log