Question

The value of log 27 to the base 9+ log 32 to the base 8 is​

Answer 1

Answer:

log y base a = x implies y=a^x.

log 27 base 9 = x.

27=9^x.

3^3=3^2x.

3=2x bases are equal.

x=3/2.

log 9 base 27 = y.

9 = 27^y

3^2=3^3y

2=3y bases are equal

y = 2/3

log 27 base 9 - log 9 base 27

=> x - y

=> 3/2 - 2/3

=> 9-4/6

=> 5/6 (or) 0.83