SOLUTION: Given that log 5=0.6990 and log 7=0.8451, find log 0.035. b. log 1.4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given that log 5=0.6990 and log 7=0.8451, find log 0.035. b. log 1.4      Log On


   



Question 1084172: Given that log 5=0.6990 and log 7=0.8451, find log 0.035.
b. log 1.4

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
a.  log (0.035) = log%2835%2F1000%29 = log%2835%29-3 = log%28%285%29%29+%2B+log%28%287%29%29-3 = 0.6990 + 0.8451 - 3.   Calculate.


b.  log (1.4) = log+%28%287%2F5%29%29 = log+%28%287%29%29+-+log+%28%285%29%29 = 0.8451 - 0.6990.   Calculate.

On logarithms and their properties, see the lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Solving logarithmic equations
    - Using logarithms to solve real world problems
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".