How do you simplify and solve (4^(2x)+3) + (4^(2x)+2) = 320?

2 Answers
Apr 4, 2015

4^(2x) *2=315

-> 4^(2x) = 315/2

->ln(4^(2x)) = ln(315/2)

->2xln(4)=ln(157.5)

->2x=ln(157.5)/ln(4)

-> 2x ~=3.64

-> x~=1.82

Apr 4, 2015

Have a look:
enter image source here
At the end I used the change of base of logs where you have:
log_a(c)=ln(c)/ln(a)