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Solve and type in a different form by using the given theorems of logarithms. log 5 + log 2

User Tjmehta
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2 Answers

3 votes

Answer:

log 5 + log 2 =

bases are both 10

multiply 5*2=10 because of the formula given in the lesson

log base 10 (10) = 1

User Majusebetter
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3 votes

Answer:

log 5+log 2=1.00000

Explanation:

To find the value

Log 5 + log 2

Logarithm :

First we see decimal point is there or not after first digit from left .

If decimal point is not there then put the decimal after last digit of a numebr and zero after decimal point . Then see how much move from the right side to put the decimal point after first digit from left side

Suppose we have Log 23

In this log expression there is no decimal poin after one digit from left side

Therefore ,put decimal point after last digit

We can write log 23.0

Now , we move decimal point from right side to left after first digit of a number

Therefore , we move one step from right side to put the deciaml point after first digit from left

Then we put 1 before the decimal point in the result value

And now we see the value of 23 at 0 in log table.

Vlaue of 23 at zero is equal to 0.3617 from log table.

Then put the value of log 23=1.3617

find the value of log 5

Put decimal after 5 in log 5

Put 00 after decimal in log 5 then we can write as

log 5.00

Now , we find the value of 50 at zero in log table

Then we get 69897

Because there is no move from right side to put the decimal point after first digit from left .Hence, we put zero before the decimal on left side and then write 6987 after decimal point.

Therefore, log 5= 0.69897

Similarly , we find value of log 2 by the same method

put zero after 2 we can write as log 2.00

Now, to find the value of 20 at 0 in log table then we get 3010

Because there is move no step therefore put zero before the decimal point then put the value 30103 after decimal point.

We get log 2 = 0.30103

log 5 + log 2= 0.69897 + 0.30103=1.00000

User Davidhtien
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