SOLUTION: How do you solve log4(9z+5)-log4(2z+2)=1? I've went over all of my lessons but I still don't understand it. Please show all work so I understand how to do it.

Question 581399: How do you solve log4(9z+5)-log4(2z+2)=1? I've went over all of my lessons but I still don't understand it. Please show all work so I understand how to do it.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
How do you solve log4(9z+5)-log4(2z+2)=1? I've went over all of my lessons but I still don't understand it. Please show all work so I understand how to do it.
**
log4(9z+5)-log4(2z+2)=1
use division rule for logs
log4[(9z+5)/2z+2)]=1
convert to exponential form: base(4) raised to log of the number(1)=number(9z+5)/2z+2)
4^1=(9z+5)/2z+2)
4=(9z+5)/2z+2)
9z+5=8z+8
z=3

RELATED QUESTIONS
Can someone please help me with these problems. I do not even know where to start. please (answered by stanbon)

Can someone please help!!! Round to four decimal places if necessary. 1.... (answered by nerdybill)

I have this exponential equation that I cannot seem to solve: 5^x = 4^x+1 I didn't... (answered by greenestamps,ikleyn)

Solve for all values of x: log4 (x^2+3x)-log4... (answered by jsmallt9)

7. Solve the equation below. Please show all of your work. log4... (answered by Alan3354)

how do i solve... (answered by josmiceli)

Use log4^3=0.7925 and log4^4=1 to approximate the value of the expression log4^384 Show... (answered by Alan3354)

I hope someone can clarify this. I'M CONFUSED!!! 2(log4 x + logx 4)=5 My working:... (answered by Alan3354)

Hello! I am unsure that this is the right topic to submit this question to, but I am... (answered by ankor@dixie-net.com)