SOLUTION: Have A couple questions about logs I'm supposed to solve e^2x=0.4 i got 2 i have to simplify ln e^x+6 i got x+6 and given that log base a 5=0.8271 and log base a 20=1.5395 find

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Have A couple questions about logs I'm supposed to solve e^2x=0.4 i got 2 i have to simplify ln e^x+6 i got x+6 and given that log base a 5=0.8271 and log base a 20=1.5395 find       Log On


   



Question 446463: Have A couple questions about logs
I'm supposed to solve e^2x=0.4 i got 2
i have to simplify ln e^x+6 i got x+6
and given that log base a 5=0.8271 and log base a 20=1.5395 find log base a 4?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
e^2x=0.4 i got 2
2x=ln(0.4)
x=ln(0.4)/2
x = -0.45815
.
i have to simplify ln e^x+6 i got x+6
you would be correct.
.
and given that log base a 5=0.8271 and log base a 20=1.5395 find log base a 4?
log%28a%2C4%29
can be rewritten as:
log%28a%2C20%2F4%29
log%28a%2C20%29+-+log%28a%2C4%29
1.5395+-+0.8271
0.7124