Help me refresh my math of Logs

Zhou

Senior member
Feb 1, 2003
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I took Diff Equation in my junior year in high school, yet I can't do a log question :(

Please help me to be :) again.

How do I solve 1000^ (log 3) without a calculator?

(the answer is 27 btw)


 

bolomite

Diamond Member
Oct 12, 2000
3,276
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(1000) ^ log 3 = (10^3) ^ log 3 = 10 ^ (3 log 3)

use power rule for logs on the (3 log 3) term, you get log (3^3) = log 27

so 10 ^ (log 27) = 27


hope that makes sense, remember that logs are just exponents
 

Broohaha

Banned
Jan 4, 2001
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its green its heavy its wood
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