SOLUTION: Hi, my name is Allen and I need assistance with this problem. I have no clue what to do. Thanks in advance. Use logarithms to solve the equation for x. [Hint: take logs of both

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, my name is Allen and I need assistance with this problem. I have no clue what to do. Thanks in advance. Use logarithms to solve the equation for x. [Hint: take logs of both       Log On


   

Question 708682: Hi, my name is Allen and I need assistance with this problem. I have no clue what to do. Thanks in advance.
Use logarithms to solve the equation for x. [Hint: take logs of both sides and simplify]
2^x=0.802 0
x=
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
+2%5Ex=0.802
take log base 2 of both sides:
+log%282%2C2%5Ex%29+=+log%282%2C0.802%29
+x+=+log%282%2C0.802%29
change of base:
+x+=+log%280.802%29%2Flog%282%29
+x+=+-0.3183