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:
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