Question 415794
use properties of logarithms to find the exact value of each expression without using calculators.
log[base 3]8 * log[base8]9

..
Using change of base formula,
log8/log3*log9/log8
=log 2^3/log3*log3^2/log 2^3
cancel out log 2^3
=2log3/log3=2
ans:
log[base 3]8 * log[base8]9=2