Monday, September 20, 2010

Calculus Homework (Exponential Problems)

Calculus students:  Here are seven problems that you should have completed by tomorrow.  Exponents are difficult to type so in case you get confused the expression or number after the ^ sign is the exponent.  Let me know if you have any trouble.  

1. (1/2)^x = 1/128

2. (3/4)^n = 64/27

3. 27^4x = 9^x+1

4. 9^4x+2 = 1/81

5. (2^x+1)(2^x) = 64

6. (27)(3^x) = 9^x

7. (4^x)(16^3x-1) = 8

5 comments:

  1. Can you flip the 64/27? and if so, how?

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  2. As long as you change your exponents from positive to negative. Like 1/2^3 can be changed to 2^-3

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  3. 1. 3^x=13 I got logbase3of 13=x but i dont know what to do from there? I typed that into my calculator but didnt get the right answer, so i think i am missing a step. Thanks!

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  4. Ok if you take the log of both sides you be left with
    log3^x = log 13 then using the property we know..
    x log3 = log 13 then divide both sides by log 3..
    x = log 13/ log 3. See if that works and let me know if you need anything else!

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  5. Thanks that helped me; however, I'm, still having some issues. We can just work some on the board on Monday! Thanks for the help!

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