# The value of ${\log _5}125$ is equal to:

A. 0

B. 1

C. 2

D. 3

Answer

Verified

363.3k+ views

Hint: Use the information that, on taking anti-log of ${\log _a}b = c$, we get $b = {a^c}$.

Complete step-by-step answer:

We know that, on taking anti-log of ${\log _a}b = c$, we get $b = {a^c}$. Now, let ${\log _5}125 = x$then on taking anti-log we get, $125 = {5^x} \Rightarrow {5^3} = {5^x} \Rightarrow x = 3$. Hence the value of ${\log _5}125$ is 3.

Note: It is always better to understand and learn formulas. It’ll help you to enhance your problem-solving techniques as in this problem.

Complete step-by-step answer:

We know that, on taking anti-log of ${\log _a}b = c$, we get $b = {a^c}$. Now, let ${\log _5}125 = x$then on taking anti-log we get, $125 = {5^x} \Rightarrow {5^3} = {5^x} \Rightarrow x = 3$. Hence the value of ${\log _5}125$ is 3.

Note: It is always better to understand and learn formulas. It’ll help you to enhance your problem-solving techniques as in this problem.

Last updated date: 27th Sep 2023

•

Total views: 363.3k

•

Views today: 5.63k

Recently Updated Pages

What do you mean by public facilities

Slogan on Noise Pollution

Paragraph on Friendship

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

What is the Full Form of ILO, UNICEF and UNESCO

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

One cusec is equal to how many liters class 8 maths CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE