Question 933032
Let r = log(7)17, s = log(5)17, t = log(7)5
Write the following expressions in terms of r, s, and/or t. The change of base formula may be helpful in finding some of these logarithms. Your answer for all but the second one should use just one letter.
log(base7) 5th root sqrt(17) ={{{(1/10)log(7,(17))=r/10}}}
log(base7)85 ={{{log(7,(17))+log(7,(5))=r+t}}}
log(base17)7 ={{{log(7,(7))/log(7,(17))=1/r}}}
log(base25)17={{{log(5,(17))/log(5,(25))=t/2}}}
log(base5)(17(7^(log(base49)5)
(log(base49)5)={{{log(7,(5))/log(7,(49))=t/2}}}
(7^(log(base49)5)=7^(t/2)
={{{log(7,(17))/log(7,(5))+(t/2)log(7,(7))=r/t+t/2}}} (had to use 2 letters)