SOLUTION: Solve for x: 2log3(x+7+5) = log4*16 I just cannot show the work to get the left side balanced to the right =9.63?

Question 675173: Solve for x:
2log3(x+7+5) = log4*16

I just cannot show the work to get the left side balanced to the right =9.63?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!

Solve for x:
2log3^(x+7+5)=log4*16
2log3^(x+12)=log64
log3^(x+12)^2=log64
3^(x+12)^2=64
3^(2x+24)=64
(2x+24)log3=log64
2x+24=log64/log3
2x=(log64/log3-24)
x=(log64/log3-24)/2
x≈-10.1072
RELATED QUESTIONS
Solve for x:... (answered by lwsshak3)

Need help solving a practice problem, I cannot get this one right! (5x+3) / (3x)= (7 (answered by funmath,tutorcecilia)

How do I get the inverse y=f(x) y= 5x-9/3x-7 After I multiply the reciprocal and wipe (answered by josgarithmetic,stanbon)

I have two questions concerning Logarithms. I appreciate any help. a) Write as a... (answered by solver91311)

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

solve these proportions. One of the examples in my text book was 65/10 = 13/x 10 x... (answered by Earlsdon)

Solve the equation analytically and show all your work, (NO Calculator0 log16^x + log4^x (answered by jim_thompson5910)

Okay, only four problems left for my homework assignment and I cannot figure them out (go (answered by Earlsdon)

I need to solve this radical equation using the power principle. Problem:... (answered by ankor@dixie-net.com)