Algebra 2, logarithms
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Need help solving the following for my math exam on Monday. I wasnt there when this was taught so I have no idea how to solve it.
e) is log_2((2^5)^2) = log_2(2^(10)) = 10
Just google properties of logarithm and use the fact that logarithm is an injective function.
Also, global rule 2.
>>134625
im exactly 18, I got the mèmès to prove it
Ok, so what you must know is that log(a) = log(b) <=> a =b
c) log(x2-1) = log(x-1)
x2 -1 = x-1
(x-1)(x+1) =x-1
x=/=1 as log(0) is impossible
<=> X+1 = 0
<=> x = -1
No solution QED
>>134640
Don't use QED in such way
>>134618
OwO, alguien hispanoparlante dame un abrazo compañero
>>134618
Look up the rules of logarithms online -- there's a bunch you need to memorize and apply.
According to research that we do at our HS math academy where I teach, memorizing the many rules is the most efficient way of learning and becoming comfortable with logarithms conceptually (as opposed to memorizing maybe 4 rules and deriving the rest each time).
Once you see the rules, the answers should come quickly -- just apply them one at a time. For example, when you see the same number in the base of two logarithms, a rule can usually be applied to combine the two.
But again, here, unlike the math you did before, YOU MUST MEMORIZE THE RULES.
