SOLUTION: find solution to equation 2^x=50. i can get 2^x-50 =0 or log2*50=x but really do not know where to go with this.

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: find solution to equation 2^x=50. i can get 2^x-50 =0 or log2*50=x but really do not know where to go with this.      Log On

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Question 10421: find solution to equation 2^x=50.
i can get 2^x-50 =0
or log2*50=x but really do not know where to go with this.

Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
+2%5Ex+=+50+ <-------- start here

+ln%282%5Ex%29+=+ln%2850%29+ <---- take the natural log of both sides.

+x%2Aln%282%29+=+ln%2850%29+ <----- Remember the logarithmic rule that says that you can bring the power to the front of the logarithm.

+x+=+ln%2850%29%2Fln%282%29+ <------- Divide both sides by ln(2).

+x+=+5.64386+ <----- answer once computed in your calculator (rounded, of course).

WARNING: +ln%2850%29%2Fln%282%29+=+ln%2850%2F2%29+ IS WRONG!!!!