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anonymous

  • 5 years ago

log 10 x=2 then x=? PLEASE HELP!

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  1. anonymous
    • 5 years ago
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    Do you mean \[log(10x) = 2?\]

  2. anonymous
    • 5 years ago
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    Or do you mean \[log_{10}(x) = 2\]

  3. anonymous
    • 5 years ago
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    The second one

  4. anonymous
    • 5 years ago
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    Recall that\[log_b(a) = k \iff b^k = a\]

  5. anonymous
    • 5 years ago
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    ...?

  6. anonymous
    • 5 years ago
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    What is b, what is a, what is k in your example?

  7. anonymous
    • 5 years ago
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    It doesn't say

  8. anonymous
    • 5 years ago
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    Just look at it.

  9. anonymous
    • 5 years ago
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    Look at what I wrote on the left side. That is just like what you have except instead of b, a, and k you have other values.

  10. anonymous
    • 5 years ago
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    So what is your b, a, and k?

  11. anonymous
    • 5 years ago
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    All the question says is log 10 (x)=2 then some of the answers are 100 and -20 they don't give any more information

  12. anonymous
    • 5 years ago
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    Look at what you wrote: \[log_{10}(x) = 2\] Look at what I wrote: \[log_b(a) = k\] Now, in your example what is b, what is a, and what is k?

  13. anonymous
    • 5 years ago
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    b is 10 and k is 2 there is no a it just says x :P

  14. anonymous
    • 5 years ago
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    a is x.

  15. anonymous
    • 5 years ago
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    So now, by the definition of the log function: \[log_b(a) = k \iff b^k = a\] What that means is that both sides of those arrows mean the same thing, you have the left side, but it means the same thing as the right side. So you can rewrite the right side using your a, b, and k and I think you'll have a nice solution to your problem.

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