Question

log9 (27) -log2 (8)/ log2 (8) -log9 (27)=5/16

Answer 1

Log 27 base 9 
=> Log (27) 9 
=> 27^x = 9
=> 3^3^x = 3^2
=> 3^3x = 3^2
=> 3x = 2
=> x = 2/3

log 9 base 27 
=> Log (9) 27 
=> 9^x = 27
=> 3^2^x = 3^3
=> 3^2x = 3^3
=> 2x = 3
=> x = 3/2

Log 27 base 9 - log 9 base 27 
=> 2/3 - 3/2
=> -5/6 (or) -0.83