Fill in the missing values to make the equations true.
is the first one 12?
is the second one 5?
the third 3/2?
Stacey Warren - Expert brainly.com
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I think adding logs means multiplying their arguments inside the log. In that case it wouldn't be 12 for the first equation but...?
The second one is right: subtracting logs is like dividing the arguments.
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And in the third case: multiplication outside the log becomes potentiacion inside it. So rather than saying 3 divided by 2 you'd say three ... 2. Let me know if that doesn't help...
Oups, sorry for my horrible orthography. :-D
(1) log(a) + log(b) = log(a x b) the missing part is 7 x5 or 35
(2) log(a - log(b) = log(a/b) the missing part is 5
(3) log(a^b) = blog(a) the missing part 3^2 or 9 which would give an answer of 1
I'm remembering this like so: If you make a list of operations with increasing "strength" or "power" then addition/subtraction would be the "weakest", multiplication would be "middle" and exponentiation would be "strongest". When you go from outside a log to inside a log then you have to increase the "strength" one step: addition/subtraction outside log becomes multiplication/division inside. And multiplication/division outside becomes exponentiation inside. If this seems just complicated then forget it. Just my personal way to remember it.