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anonymous

  • one year ago

Math help Write 3^x =12 in logarithmic form Write in 7=x in exponential form

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  1. anonymous
    • one year ago
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    Logs simply answer the question "what power must 3 be raised to to get 12?" log 3^x =12

  2. anonymous
    • one year ago
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    4?

  3. anonymous
    • one year ago
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    OK if y= b^x then log to the base b of y = x

  4. anonymous
    • one year ago
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    Example: if 100= 10^2 then log to trhe base 10 of 100 = 2

  5. anonymous
    • one year ago
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    generally what happens is you take the log of both sides: log (3^x) = log(12) then due to another rule: x. log3 = log12 and then x= log 12/log3 x= 2.26

  6. anonymous
    • one year ago
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    I am sure the real mathematicians in here (of which there are many) would explain it far better than me.

  7. anonymous
    • one year ago
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    However for the moment, I calculate 3^ 2.26=11.97551049 which is approximately 12

  8. anonymous
    • one year ago
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    Thanks

  9. anonymous
    • one year ago
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    You are welcome @wagnermar, actually its lovely to get revision of logs!

  10. anonymous
    • one year ago
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    P.S. if you see an equation of the form 3^x = 12 (this is known as an index equation) then just apply the method I showed you and you will be able to solve in future!

  11. anonymous
    • one year ago
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    Ok thanks :)

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