express log9 (xy) in terms of log3 x and log10 y

1 answer

since 9=3^2,
log9(x) = 1/2 log3(x)
to change bases from 9 to 10 is not so easy:
log9(y) = log10(y)/log10(9)
so you have
1/2 log3(x) + log10(y)/log10(9)
seems like a rather silly exercise
Similar Questions
    1. answers icon 2 answers
  1. Express as a logarithm of a single number or expression:1. 5log4^p+log4^q 2. log10^x-4 log10^y 3. 4log3^A-1/2 log3^B 4.
    1. answers icon 1 answer
  2. Please help me with these questions ASAP!!Suppose that f(x)=log3(x-1) a)If f(6)=1.4 and f(8)=1.7,then evaluate log3(35) and
    1. answers icon 0 answers
  3. Logarithms3^x-2=18 Work log(3^x-2)=log18 (x-2)log3=log18 xlog3-2log3=log18 x=log3/(log9-log18) e^3x+1=10 lne^3x+1=ln10 3x+1=ln10
    1. answers icon 1 answer
more similar questions