Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Rogelio argues that log5 15635 is between 6 and 7 because 6^5 =7776 and 7^5=16807. Explain why you agree or disagree

Sagot :

Expressions can be represented as logarithms and exponents

Rogelio argument is correct

How to determine if Rogelio's claim is true

The logarithmic equation is given as:

[tex]\log_5(15635)[/tex]

Apply logarithm rule, to rewrite the logarithmic equation

[tex]\log_5(15635) = \frac{\log(15635)}{\log(5)}[/tex]

Evaluate the individual logarithmic expressions

[tex]\log_5(15635) = \frac{4.1941}{0.6990}[/tex]

Evaluate the quotient (i.e. divide the expression)

[tex]\log_5(15635) = 6.0001[/tex]

The above equation shows that [tex]\log_5(15635)[/tex] is between 6 and 7

Hence, Rogelio argument is correct

Read more about equivalent expressions at:

https://brainly.com/question/2972832