Question 1079943
your solution should be x = .4545454545 which is equivalent to 5/11.

if you graph y = 16^(x+2)/64 and y = (1/64)^(3x-2), their intersection should show you the solution.


the graph looks like this:


<img src = "http://theo.x10hosting.com/2017/050603.jpg" alt="$$$" </>


the calculations are messy so i'll write them manually and show you them in the following picture.


<img src = "http://theo.x10hosting.com/2017/050604.jpg" alt="$$$" </>


the rules of logarithms used are:


log(a^b) = b * log(a)


log(a * b) = log(a) + log(b)


note that:


log(a * b^c) = log(a) + log(b^c) = log(a) + c * log(b)