Question

show that log x base a× log y base b = log x base b× log y base a
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Answer 1

Answer:

Step-by-step explanation:

L.H.S = log x  base a  *  log y  base b

by  interchanging of the base formula we get ; [ log m base n = log m / log n

= ( log x / log a ) * ( log y / log b )

= (log x / log b ) *  ( log y / log b )         [ just exchanging the base]

so we can write :

= log x base b * log y base a = R.H.S      proved.