SOLUTION: Express log3+log2 square root 2-3log 4 as a singular logarithm

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Question 1192977: Express log3+log2 square root 2-3log 4 as a singular logarithm
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Say that differently. As put in the post, it is ambiguous.
If to guess, you are starting with .

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Note the concept of a "singular logarithm" is not defined....

To write the expression as a SINGLE logarithm, I will assume the expression is



If that is the correct expression, then use your basic rules of logarithms:

(1)
(2)
(3)

Using (1),

Using (3),

Using (2),

ANSWER:

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NOTE...!

An answer in unsimplified form is more useful to a student who is just learning about logarithms:

ANSWER:

In that form you can still see all the parts of the given expression:
The (3) and 2*sqrt(2) are multiplied together; and
that product is divided by 4^3.


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