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anonymous

  • 5 years ago

ln8x=4 ?

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  1. anonymous
    • 5 years ago
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    Yes

  2. anonymous
    • 5 years ago
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    \[ln(8x) = 4 \iff e^4 = 8x\]

  3. anonymous
    • 5 years ago
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    By the definition of the logarithm

  4. anonymous
    • 5 years ago
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    So then what would you do?

  5. anonymous
    • 5 years ago
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    how do i solve for x?

  6. anonymous
    • 5 years ago
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    Well, you have \(8x = e^4\) If I told you that 7a = 25, how would you solve for a?

  7. anonymous
    • 5 years ago
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    divide 25 by 7

  8. anonymous
    • 5 years ago
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    would the answer be 6.82?

  9. anonymous
    • 5 years ago
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    Yep, or at least that's a close approximation.

  10. anonymous
    • 5 years ago
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    okay, so if were to have ln(5-x)=12 how would ibegin with solving that?

  11. anonymous
    • 5 years ago
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    Same deal. \[ln(a) = b \iff e^b = a\]

  12. anonymous
    • 5 years ago
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    Those two expressions are equivalent.

  13. anonymous
    • 5 years ago
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    ok, so e to the 12 power = 5-x ?

  14. anonymous
    • 5 years ago
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    Yes

  15. anonymous
    • 5 years ago
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    does it equal approx -162749.8?

  16. anonymous
    • 5 years ago
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    yep

  17. anonymous
    • 5 years ago
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    thank you

  18. anonymous
    • 5 years ago
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    Very welcome =)

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