Must Sh ve for the indicated variable 9 In ix 3 In ly 4 in 5

Must Sh ve for the indicated variable. 9) In ix 3 In ly 4) in 5, or x r the given functions fand g, find the indicaled e properties of logarithms to expand the Iogaris a -91

Solution

8) ln(x-3) = ln(y-4) - ln5

ln(x -3) = ln( y-5)/5

Equating arguments inside the log:

x-3 = (y-5)/5

x = 3 +(y-5)/5 = ( 10 +y)/5

x =( 10 +y)/5

9) question is not visible clearly

10) log7[c^5/( a -9)^7]

use the log property : log(A/B) = logA - logB

logA^x = x*logA

So, log7[c^5/( a -9)^7] = log7[c^5] - log7(a - 9)^7

= 5log7(c) - 7log7(a- 9)