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Question

If y=a11logax and z=a11logay, then prove that x=a11logaz .

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Solution

logay=11logax, therefore, 1logay=111logax=logax1logax
or 11logay=1logaxlogax
But z=a11logay
logaz=11logay=1logax+1
1logax=1logaz
logax=11logaz
x=a11logaz

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