Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)  
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b) 
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2 
 
        
             
        
        
        
Answer:
I think it's A
Step-by-step explanation:
 
        
             
        
        
        
ANSWER

EXPLANATION
We want to evaluate 

Use indices to rewrite the expression as:

We know that 

So we rewrite the expression to obtain;

This gives us;

This simplifies to


 
        
             
        
        
        
Thanks.
Answer is 37x=720-20+20-75-76+40=609
x=609/37= 16.459 Assuming all the numbers are the same as we can see it in the equation.
        
             
        
        
        
Answer:
b. 
f. 17 hours 
Step-by-step explanation:
Charges for coming to my house = $68 (this will be the constant of the equation)
Amount charged per hour labor = $17
hours = h
Total amount paid to Mike = 357
The equation that represents this situation can be expressed as:

Solve for h
 (subtraction property of equality)
 (subtraction property of equality)

 (division property of equality)
 (division property of equality)

Mike was in my house for 17 hours.