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3 years ago

What is the value of log7 343

Mathematics

2 answers:

Nataliya [291]3 years ago

8 0

The answer should be a total of 3

Alisiya [41]3 years ago

7 0

Answer:

The value of given expression $log_7343$ is 3.

Step-by-step explanation:

Given: $log_7343$

We have to find the value of given expression $log_7343$

Consider the given expression $log_7343$

Rewrite 343 in base- power form as $343=7^3$

We have

$=\log _7\left(7^3\right)$

Apply log rule, $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

We have ,

$\log _7\left(7^3\right)=3\log _7\left(7\right)$

Again Apply log rule $\log _a\left(a\right)=1$

we have $\log _7\left(7\right)=1$

Thus, $3\log _7\left(7\right)=3$

Thus, the value of given expression $log_7343$ is 3.

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yawa3891 [41]

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3 years ago

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leonid [27]

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3 years ago

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insens350 [35]

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sweet-ann [11.9K]

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