determine the value of the following log1to the base7
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To find:
\textsf{The value of}The value of
\mathsf{\log_{7}1}log
7
1
\underline{\textsf{Solution:}}
Solution:
\bf\mathsf{Concept:}Concept:
\boxed{\mathsf{a^x=N\;\iff\;\log_aN=x}}
a
x
=N⟺log
a
N=x
\mathsf{Consider,}Consider,
\mathsf{Let\;\;\log_{7}1=x}Letlog
7
1=x
\implies\mathsf{7^x=1}⟹7
x
=1
\implies\mathsf{7^x=7^0}⟹7
x
=7
0
\mathsf{Equating\;powers\;on\;bothsides,\;we\;get}Equatingpowersonbothsides,weget
\mathsf{x=0}x=0
\implies\boxed{\mathsf{\log_{7}1=0}}⟹
log
7
1=0
\underline{\textsf{Find more:}}
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hope it's helpful....!!!
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