SOLUTION: Solve the logarithmic equation:
2log(6x)-log(9)=log(36)
Algebra.Com
Question 945219: Solve the logarithmic equation:
2log(6x)-log(9)=log(36)
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the logarithmic equation:
2log(6x) - log(9) = log(36)
the exponent equiv of logs
Subtracting of logs means divide. Cancel the 9 into 36
=
if the log of one number equals the log of an other number. The values are equal
divide both sides by 4
x = 3
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2log(6x)-log(9)=log(36)
2log(6x) = log(9) + log(36)
Adding logs --> multiplication
2log(6x) = log(9*36) = log(324)
log(6x) + log(6x) = log(324)
log((6x)^2) = log(324)
log(36x^2) = log(324)
---
If the logs are equal, then
36x^2 = 324
x^2 = 9
x = 3
--------------
x = -3 is rejected, --> log of a negative number
RELATED QUESTIONS
solve the logarithmic equation
-2log[base 4]x=log[base... (answered by ewatrrr)
Solve the following logarithmic equation:... (answered by lwsshak3)
Solve the following logarithmic equation. Check all solutions. (Enter solutions from... (answered by CharlesG2)
log[4](36)-2log[4](x)=log[4](9) (answered by nerdybill)
Log[4](36)-2Log[4](X)=Log[6](9) (answered by lwsshak3)
Solve the equation... (answered by poliphob3.14)
Solve the logarithmic equation log x + log (x-3)=... (answered by Edwin McCravy)
Solve the logarithmic equation.
log x + log(x + 48) = 2
(answered by josmiceli,MathLover1)
Solve the equation: 2log x =... (answered by lwsshak3)