<u>Answer</u>
A. c = 4
<u>Explanation</u>
In algebra, what you do to one side of the equation, the same has to be done on the other side.
32c = 128
divide both sides by 32
32c = 128.
32c ÷ 32 = 128 ÷ 32
c = 128/32
= 4
4*7 5*nothing 3* nothing 6*nothing
-3x=2x+19
-19 -19
-3x-19=2x
+3x +3x
-19=5x
/5 /5
x=19/5
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:
brainly.com/question/2972832