log[10][log[3](log[5]125)]=0

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1 Answer

53=125, so 3=log5(125).

log3(log5(125))=log3(3)=1.

log10[log3(log5(125))]=log10(1)=0 (log of 1 to any base is always 0).

This proves the statement.

by Top Rated User (1.2m points)

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