Question

Choose the correct option.
The value of x in log11(1000+x) = 3 is:​

Answer 1

11 * 1000x =3

1000x=3*11

1000x=33

x=33/1000

x=0.033

Answer 2

Answer:

Here we can find the value of $x$ using the logarithm formula.

Final Answer: $x=331$

Step-by-step explanation:

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

From the given question, base = 11, argument = 1000+x, exponent = 3

Logarithm Formula:

• $\log_{a}x=y$ can be written as, $a^y=x$.

• $base ^ {exponent}=argument$

• Now the above logarithm formula should apply in the given question.That is,

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

                              $1000+x=11^3$

                              $1000+x=1331$

                                         $x=1331-1000$

                                         $x=331$

• Final Answer: The value of $x$ is $331$