Suppose that we have the following set of equations
log2 x + log3 x + log4 x = 20
log4 y + log9 y + log16 y = 16
Compute logx y.  Choose one:
A) 0.5
B) 1.3
C) 1.6
D) 2.5
E) 0.1
We rewrite the rst equation as   20 = log2 x + log3 x + log4 x   20 =   log x   log 2   +   log x   log 3   +   log x   log 4   20 = log x (log2 10 + log3 10 + log4 10)   Similarly, we obtain that   16 = log y (log4 10 + log9 10 + log16 10)   16 = log y (log2   p   10 + log3   p   10 + log4   p   10)   16 =   1   2   log y (log2 10 + log3 10 + log4 10)   32 = log y (log2 10 + log3 10 + log4 10)   Dividing both equations by each other, we obtain   32   20   =   log y   log x   log2 10 + log3 10 + log4 10   log2 10 + log3 10 + log4 10   8/5   = logx y=1.6   correct answer 1.6
<result>C</result>
Suppose that we have the following set of equations
log2 x + log3 x + log4 x = 20
log4 y + log9 y + log16 y = 16
Compute logx y.