SOLUTION: Solve problem to 3 significant digits 2^x = 0.0525

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Question 4560: Solve problem to 3 significant digits
2^x = 0.0525
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex+=+0.0525

Take the ln of each side of the equation:
ln%282%5Ex%29+=+ln+0.0525

By the third law of logarithms, the exponent x becomes the coefficient of the ln2:
x+ln+2+=+ln+0.0525

Divide both sides of the equation by ln 2:
x+=+%28ln+0.0525%29%2F%28ln+2%29
+x+=+-4.25

R^2 at SCC