SOLUTION: Solve for x to the nearest hundredth: 1.72^x= 32. how do I get x?

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Question 456439: Solve for x to the nearest hundredth: 1.72^x= 32. how do I get x?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Take the log of both sides
+log%281.72%5Ex%29+=+log%2832%29+
+log%281.72%5Ex%29+=+log%282%5E5%29+
Use the rule +log%28a%5Eb%29+=+b%2Alog%28a%29+
+x%2Alog%281.72%29+=+5%2Alog%282%29+
+x+=+%285%2Alog%282%29%29+%2F+log%281.72%29+
+x+=+%285%2A+.3010%29+%2F+.2355+
+x+=+1.5050%2F.2355+
+x+=+6.391+
check answer:
+1.72%5Ex=+32+
+1.72%5E6.391+=+32+
+32.008+=+32+
close enough