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Question Number 193767 by sciencestudentW last updated on 19/Jun/23
prove that c^(log_b a) =a^(log_b c)
provethatclogba=alogbc
Answered by AST last updated on 19/Jun/23
c^(log_b a) =c^(((log a)/(log b))=) (c^((log_c a)/(log_c 10)) )^(1/(log b)) =(a^((log_c c)/(log_c 10)) )^(1/(log b)) =(a^(log c) )^(1/(log b)) =a^((log c)/(log b)) =a^(log_b c)
clogba=clogalogb=(clogcalogc10)1logb=(alogcclogc10)1logb=(alogc)1logb=alogclogb=alogbc

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