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((log^2)_25 to 125) - ((log^2)_25 to 5)?

1 Answer

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  • 4 years ago

    Not quite sure of your notations...

    but I figure it's

    (log to the base 25 of 125) squared - (log to the base 25 of 5) squared

    so:

    (log_25(125))^2 - (log_25(5))^2 .... difference of squares factorisation

    = (log_25(125) + log_25(5)) (log_25(125) - log_25(5))

    = log_25(625) * log_25(25)

    = 2log_25(25) * 1

    = 2*1

    = 2

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