SOLUTION: given that log7=0.8451and log6=0.7782 find log 25.2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: given that log7=0.8451and log6=0.7782 find log 25.2      Log On


   

Question 1091414: given that log7=0.8451and log6=0.7782 find log 25.2
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
given that log7=0.8451and log6=0.7782 find log 25.2
-----------
25.2 = 6*6*7/10
log(25.2) = log(6) + log(6) + log(7) - 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
log%287%29=0.8451 and
log%286%29=0.7782
find:
log+%2825.2+%29.......write %2825.2+%29 as +%28252%2F10+%29
=log+%28252%2F10+%29......write %28252+%29 as +%287%2A6%5E2+%29
=log+%28%287%2A6%5E2%29%2F10+%29
=log+%28%287%5E2%2A6%29%29-log%28%2810+%29%29
=log+%28%287%29%29%2Blog%28%286%5E2%29%29-log%28%2810+%29%29
=log+%28%287%29%29%2B2log%28%286%29%29-log%28%2810+%29%29...substitute given values
=0.8451%2B2%2A0.7782-1
=1.4015