5 marks question long answer type
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here is your answer in the attachment given above
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Hii its tom85
log3(3^x - 8) = 2 - x
3^x - 8 = 3^(2 - x)
3^x - 8 = 9/3^x
let 3^x =t
t - 8 = 9/t
t^2 -8t - 9 = 0
t^2 - 9t + t -9 =0
(t+1)(t - 9) = 0
t =1
3^x = 1
x log3 = 0
x =0
and
t=9
3^x =3^2
x=2
so x=0 and 9
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Hope it may helps you
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