SOLUTION: hello. could you help me get started on my problems by doing one for me? it is {{{2^x=50}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: hello. could you help me get started on my problems by doing one for me? it is {{{2^x=50}}}      Log On


   

Question 605276: hello. could you help me get started on my problems by doing one for me?
it is 2%5Ex=50
Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex=50

Take the log of both sides

log%28%282%5Ex%29%29 = log%28%2850%29%29

Use the rule of logarithms which allows you to bring
an exponent out in front of the log as a multiplied
coefficient:

x%2Alog%28%282%29%29 = log%28%2850%29%29

Divide both sides by log((2)):

%28x%2Alog%28%282%29%29%29%2F%28log%28%282%29%29%29 = %28log%28%2850%29%29%29%2F%28log%28%282%29%29%29

%28x%2Across%28log%28%282%29%29%29%29%2F%28cross%28log%28%282%29%29%29%29 = 1.698970004%2F.4771212547%29 

x = 5.64385619

Edwin