I tried everthing but,I couldn't solve it. Please help me.the answer at the back is 40960.13

Question

question: solve for x and check your solution.

logx/log2 + logx/log4 + logx/log8 + logx/log16 = 25

THANK YOU FOR YOUR KIND HELP!!!!

Answer 1

Multiply both sides by log16.
log16/log2=4
log16/log4=2
log16/log8=4/3
log16/log16=1
logx(4+2+4/3+1)=25*log16
logx=3*log16
logx=log(16^3)
x=16^3=4096 (check the answer at the back)