Write a Single log Ln m Ln n Ln pLn q Write a Single log 12

Write a Single log Ln m + Ln n -Ln p-Ln q Write a Single log 1/2 Log m + 1/3 Log n Write a Single log 3 - Log_3 n

Solution

5) ln(m) + ln(n) - ln(p) - ln(q)

Use the log property: lnA + lnB - lnC = ;ln(A*B/C)

ln(m) + ln(n) - ln(p) - ln(q) = ln(m*n/p*q)

7) 1/2logm + 1/3logn

use the log property : a*logb = log(b^a)

Use the log property: lnA + lnB - lnC = ln(A*B/C)

1/2logm + 1/3logn = log(m^1/2) + log(n^1/3) = log(m^1/2*n^1/3)

9) 3 - log3(n)

3 (log3(3) - log3(n)

log3(3^3) - log3(n)

= log3( 27/n)