If logr 3=7.1, then logr √(3)= (A) 2.66 (B) 3.55 (C) (√(3))/(r) (D) (7.1)/(r) (E) √(7.1)

Name: Problem 13, Chapter :
Uploaded: 2019-08-29T01:49:00-08:00
Duration: 1 min 29 s
Channel: Grant Castaneda
Description: If logr 3=7.1, then logr √(3)= (A) 2.66 (B) 3.55 (C) (√(3))/(r) (D) (7.1)/(r) (E) √(7.1)

step 1 Hello, everyone. I hope all as well. Today I'll be helping you with the 13th problem of the Mode

Question

If $\log _{r} 3=7.1,$ then $\log _{r} \sqrt{3}=$ (A) 2.66 (B) 3.55 (C) $\frac{\sqrt{3}}{r}$ (D) $\frac{7.1}{r}$ (E) $\sqrt[r]{7.1}$

   If $\log _{r} 3=7.1,$ then $\log _{r} \sqrt{3}=$
(A) 2.66
(B) 3.55
(C) $\frac{\sqrt{3}}{r}$
(D) $\frac{7.1}{r}$
(E) $\sqrt[r]{7.1}$

Instant Answer

Solved by Expert Grant Castaneda

08/29/2019

Step 1

1$. We are asked to find $\log _{r} \sqrt{3}$. Show more…

Show all steps

Thanks for your feedback!

If $\log _{r} 3=7.1,$ then $\log _{r} \sqrt{3}=$ (A) 2.66 (B) 3.55 (C) $\frac{\sqrt{3}}{r}$ (D) $\frac{7.1}{r}$ (E) $\sqrt[r]{7.1}$

Play audio

Feedback

Grant Castaneda and 58 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Logarithm Function

The logarithm function is the inverse operation to exponentiation and is used to determine the exponent needed for a given base to obtain a particular number. It serves as a fundamental tool in algebra and is essential for solving equations that involve exponential relationships.

Power Rule of Logarithms

The power rule of logarithms states that the logarithm of a number raised to an exponent is equal to the exponent multiplied by the logarithm of the base number. This property simplifies the process of taking logarithms of roots or powers, making it easier to solve equations involving exponents.

Conversion Between Radicals and Exponents

Radicals, such as square roots, can be expressed using fractional exponents. This conversion, where the square root of a number is written as the number raised to the power of one-half, allows for the application of logarithmic rules like the power rule, streamlining calculations involving roots.

Please give Ace some feedback