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Find the value of log_7343.

Question

Find the value of $l o g_{7} 343$ .

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l o g_{7} 343

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Text solutionVerified

Let factorise 343. we get

So,

343 = 7 \times 7 \times 7

343 = 7^{3}

So,

l o g_{7} 343 = l o g_{7} 7^{3}

now, as we know,

l o g_{a} b^{n} = n l o g a^{b}

& If

l o g_{a}^{a}

is given, then

l o g_{a}^{a} = 1

So,

l o g_{7} 343 = l o g_{7} 7^{3} = 3 l o g_{7} 7

therefore,

l o g_{7} 343 = 3

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