Math...

Find the exhaustive set of values of 'a' such that log(x²+2ax)=log(8x-6a-3) has only one solution for x. Well I found this in chat during livestream and wish to know the answer. I m a 11th grader so if it's in 12th ka concept, do let me know. I could just think of converting it into a quadratic then found a=1 or 13, am i right?
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iTeachChem Helper
@Apu
iTeachChem Helper
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iTeachChem
iTeachChem5mo ago
nicely done yea this works! btw when a = 13 accha nvm yea x = -9 :)
serenity. 力
serenity. 力5mo ago
yes correct also just put a in the equation again, find values of the individual quadratics at the roots and check if they lie in the domain of log because you don't want negative values pretty sure one of the values of a will get rejected
Slembash
SlembashOP5mo ago
okay got it thnku indeed, a cannot be 13 +solved @serenity. 力
iTeachChem Helper
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