Question

write the following expressions as log N and find theit values wherever possible. 1)log 2+log 5, 2)log 2 power 16-log 2 power 2, 3)3 log 64 power 4, 4)2 log 3-3 log 2, 5)log 10+2 log 3-log 2

Answer 1

Answer:

1)log 16 - log 2   =  log (16/2)   =  log 8    Here N = 8

2) 3 log 4  = log 4³  = log 64    Here N = 64

3) 2 log 3 - 3 log 2  =  log 3² - log 2³ = log 9 - log 8  = log (9/8) ..Here N = 9/8

4) log 243 + log 1 = log (243*1) = log 243    Here N = 243

5) log 10 + 2 log 3 - log 2  = log 10 + log 3² - log 2  

 = log 10 + log 9 - log 2  =  log (10*9) - log 2   = log 90 - log 2  = log (90/2) = log 45....Here N = 45

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