find the value of $l o g_{7} 343$

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Solution

$l o g_{7} 343$
$l o g_{7} (7)^{3}$ we know $l o g_{a} (a)^{x} = x$
$3 l o g_{7} 7$ and $[l o g_{7} 7 = 1]$
3

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l o g_{7} 343

{log}_{6} 216 + {log}_{7} 343

{log}_{2} 32 + {log}_{7} 343

${log}_{5} 625 + {log}_{3} 243 + {log}_{7} 343$

(666)^{2}

(66666)^{2}

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