SOLUTION: Given that log 5=0.6990 and log 7=0.8451, evaluate a) log 35 (b) log 2.8 (c) Given that N 0.8942=2.8, use your result in (b) above to find the value of N

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Question 1202253: Given that log 5=0.6990 and log 7=0.8451, evaluate a) log 35 (b) log 2.8
(c) Given that N 0.8942=2.8, use your result in (b) above to find the value of N
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
a start only
, and soon you want to look for which is same as .
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Given that log 5=0.6990 and log 7=0.8451, evaluate
(a) log 35
(b) log 2.8
(c) Given that N 0.8942=2.8, use your result in (b) above to find the value of N
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            In this my post,  I will solve  (a)  and  (b),  ONLY.

            I will not solve  (c)  in order for do not make a mess from this post. 


(a)  35 = 5*7;  therefore log(35) = log(5*7) = log(5) + log(7) = 0.6990 + 0.8451 = 1.541.    ANSWER



(b)  First, log(2) =  = log(10) - log(5) = 1 - 0.6990 = 0.301.

     Next, 2.8 =  =  = log(7) + log(2) - log(5) = 0.8451 + 0.301 - 0.6990 = 0.4471.  ANSWER

Solved.


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By the way, what is written in your part (c), mathematically is UNREADABLE
and, THEREFORE, makes no sense.



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