SOLUTION: Solve for the variable in the equations below. Round your answers to the nearest hundredth. Do not round any intermediate computations. e^v=4 12^-2x=15

Algebra ->  Equations -> SOLUTION: Solve for the variable in the equations below. Round your answers to the nearest hundredth. Do not round any intermediate computations. e^v=4 12^-2x=15      Log On


   

Question 1144540: Solve for the variable in the equations below. Round your answers to the nearest hundredth. Do not round any intermediate computations.
e^v=4
12^-2x=15
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
e^v=4
v = ln(4)
------------------
12^-2x=15
Is it 12^(-2)x ?
Or 12^(-2x) ?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
e%5Ev=4
using nat logs
ln%28e%5Ev%29=ln%284%29
the log equiv of exponent, the ln of e is 1, therefore:
v = 1.38629
v ~ 1.39
:
12%5E%28-2x%29=15
-2x%2Alog%28%2812%29%29+=+log%28%2815%29%29
-2x = log%28%2815%29%29%2Flog%28%2812%29%29
-2x = 1.089799571
x = 1.089799571%2F-2
x = -.5448997855 ~ -.54