Expressions can be represented as logarithms and exponents
Rogelio argument is correct
<h3>How to determine if Rogelio's claim is true</h3>The logarithmic equation is given as:
Apply logarithm rule, to rewrite the logarithmic equation
Evaluate the individual logarithmic expressions
Evaluate the quotient (i.e. divide the expression)
The above equation shows that is between 6 and 7
Hence, Rogelio argument is correct
Read more about equivalent expressions at: