Answer:
The answer to your question is a = 40, b = 5/8
Step-by-step explanation:
Data
ab = 25
log₄a - log₄b = 3
Process
1.- Use the law log of a quotient
log₄ a/b = 3
2.- Convert the log to an exponent
a/b = 4³
a/b = 64 Equation l
ab = 25 Equation ll
3.- Solve equation l for a
a = 64b
4.- Substitute in equation ll
(64b)b = 25
-Simplify
64b² = 25
-Solve for b
b² = 25/64
b = 5/8
5.- Substitute the value of b to find a
a = 64(5/8)
-Simplification
a = 40
