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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 :

MrRoyal

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

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