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Question

State whether each of the following statements is true or false.
(i) log5125=3
(ii) log128=3
(iii) log4(6+3)=log46+log43
(iv) log2(253)=log225log23
(v) log133=1
(vi) loga(MN)=logaM÷logaN

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Solution

i)log553=3log55=3True

ii)log128=log2123=31log22=3False

iii)log4(6+3)=log46+log43False
Because log46+log43=log4(6.3)

iv)log2(253)=log225log23False

v)log133=log313=1True

vi)loga(MN)=logaM÷logaNFalse

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