SOLUTION: Write ({{{ log( 3, 7 ) * log( 4, 3 ) * log( 7, 6 ) }}}) as a single logarithm.

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Question 935990: Write () as a single logarithm.
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
this was a doozy, but i think i was able to figure it out.

by the log conversion formula, you get:

and and

you get the following equation:

() =

in the numerator and denominator cancel out, and in the numerator and denominator cancel out and you are left with

by the log base conversion formula, you get:

and so your final solution is:

( = .

to confirm the solution is correct, you have to go back to the log conversion formulas.

.= = 1.29248125.

() = = 1.29248125.

they give you the same value, so they're equivalent.

your solution is that the expression becomes