#1**0 **

Solve for x:

log(x)/log(4)+log(x)/log(16)==4.5

4.5==9/2:

log(x)/log(4)+log(x)/log(16)==9/2

Rewrite the left hand side by combining fractions. log(x)/log(4)+log(x)/log(16) == ((log(4)+log(16)) log(x))/(log(4) log(16)):

((log(4)+log(16)) log(x))/(log(4) log(16))==9/2

Divide both sides by log(4)+log(16)/(log(4) log(16)):

log(x)==(9 log(4) log(16))/(2 (log(4)+log(16)))

Cancel logarithms by taking exp of both sides:

x==E^((9 log(4) log(16))/(2 (log(4)+log(16))))

**x = 64**

Guest May 31, 2020