Question

va rog !!!!!!
punctul C
este urgent!!!​

Answer 1

Răspuns:

Explicație pas cu pas:

lg125 = ? a = log₅8 = log₅2³ = 3 log₅2

lg125 = (log₅125)/(log₅10) = log₅5³/ log₅(5·2) =

= 3log₅5 / (log₅5 + log₅2) = 3/(1+a/3) =

= 3/[(a+3)/3] = 9/(a+3)

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log₆27 = ? b = log₃16 = log₃2⁴ = 4log₃2

log₆27 = log₃27/log₃6  = log₃3³/log₃(3·2) =

= 3log₃3 / (log₃3 + log₃2) = 3 / (1 + b/4) =

= 3/ [(4+b)/4] = 12/(4+b)

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log₂₄2  = ? c = log₂₄3

log₂₄2 = log₂₄(24/12) = log₂₄24 - log₂₄(4·3) = 1 - log₂₄4 - log₂₄3 =

= 1-log₂₄4-c = 1-c-log₂₄4