Answer
398.4k+ views
Hint: In order to solve this question we should know the base of the logarithm but as it is not given in question so we will assume the base to be 10. And according to this base, we will solve this question. After this, we will apply the properties of the log and get the final solution.
Complete step by step solution:
For solving these types of problems we need to know the base in question. The base is not mentioned so in general, we assume it as 10.
So the question will be:
${\log _{10}}x = 3$ ………………… (1)
Now by applying the property of logarithm:
If,
${a^{{{\log }_a}b}} = {a^c}$
Then,
b=c
Now taking 10 to the power of (1) we get:
${10^{{{\log }_{10}}^x}} = {10^3}$
According to the property, we will get the value of x = 3.
Additional information:
Some properties of logarithm:
1) $\log (m.n) = \log m + \log n$
2) $\log \left( {\dfrac{m}{n}} \right) = \log m - \log n$
3) ${\log _b}({m^n}) = p{\log _b}(m)$
These are some important properties of logarithm through which the calculations are easy.
Note:
When we solve these questions the most important thing is the base so when we are solving the questions first thing we have to check the base because the value at the different base is different for the same question.
Complete step by step solution:
For solving these types of problems we need to know the base in question. The base is not mentioned so in general, we assume it as 10.
So the question will be:
${\log _{10}}x = 3$ ………………… (1)
Now by applying the property of logarithm:
If,
${a^{{{\log }_a}b}} = {a^c}$
Then,
b=c
Now taking 10 to the power of (1) we get:
${10^{{{\log }_{10}}^x}} = {10^3}$
According to the property, we will get the value of x = 3.
Additional information:
Some properties of logarithm:
1) $\log (m.n) = \log m + \log n$
2) $\log \left( {\dfrac{m}{n}} \right) = \log m - \log n$
3) ${\log _b}({m^n}) = p{\log _b}(m)$
These are some important properties of logarithm through which the calculations are easy.
Note:
When we solve these questions the most important thing is the base so when we are solving the questions first thing we have to check the base because the value at the different base is different for the same question.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)