Question

the value of x in log11(1000+x)=3 is​

Answer 1

Answer:

10, common logarithm, lg(x), log10(1000) = lg( 1000) = 3 => 103 = 1000 ... List of log function values tables in common base numbers.

Answer 2

SOLUTION

GIVEN

$\sf{ log_{11}(1000 + x) = 3}$

TO DETERMINE

The value of x

EVALUATION

Here the given equation is

$\sf{ log_{11}(1000 + x) = 3}$

We find the value of x as below

$\sf{ log_{11}(1000 + x) = 3}$

$\sf{ \implies \: (1000 + x) = {11}^{3} }$

$\sf{ \implies \: (1000 + x) = 1331}$

$\sf{ \implies \: x= 1331 - 1000}$

$\sf{ \implies \: x= 331 }$

FINAL ANSWER

Hence the required value of x = 331

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