High School

Thank you for visiting Which of the following are equivalent to tex log 3 27 tex Choose all that apply a 3 08 b 0 48 c 1 70. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Which of the following are equivalent to [tex]\log_{3}27[/tex]? Choose all that apply.

a) 3.08
b) 0.48
c) 1.70
d) 5.09

Answer :

Final answer:

To determine which of the given options are equivalent to log327, we can use the property of logarithms that states log_a(b) = c if and only if a^c = b. Evaluating each option, we find that the only one equivalent to log327 is d) 5.09.

Explanation:

The logarithm of a number is the exponent to which another fixed value called the base must be raised to produce that number. In this case, we are trying to find the logarithm base 3 of 27. To determine which of the given options are equivalent to log327, we can use the property of logarithms that states log_a(b) = c if and only if a^c = b. Let's use this property to evaluate each option:

a) log327 = 3.08 ➡️ 3^3.08 = 27.0627 (not equivalent)

b) log327 = 0.48 ➡️ 3^0.48 = 1.9307 (not equivalent)

c) log327 = 1.70 ➡️ 3^1.70 = 4.8 (not equivalent)

d) log327 = 5.09 ➡️ 3^5.09 = 27 (equivalent)

Therefore, the only option that is equivalent to log327 is d) 5.09.

Thank you for reading the article Which of the following are equivalent to tex log 3 27 tex Choose all that apply a 3 08 b 0 48 c 1 70. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

Other Questions