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If a^x = b^y = c^z then x^a = y^b = z^c = |
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Answer» -STEP EXPLANATION:Let a x =B y =c z =λ, thenlog a λ=x,log b λ=y and log c λ=zSince, x,y and z are in GP∴y 2 =xz⇒(log b λ) 2 =(log a λ)(log c λ)⇒ log a λlog b λ = log b λlog c λ ⇒ log λ BLOG λ a = log λ clog λ b (∵log n m= log m n1 )⇒log b a=log c b⇒log b a= log b c1 ⇒log b alog b c=1. |
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