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anonymous

  • 5 years ago

ln (5x-2)=12 approximate the solution to four decimal places

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  1. nowhereman
    • 5 years ago
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    Here you apply three functions to x [5*•, •-2, ln •] and want a point x with a certain function value. Luckily all these functions are injective (one-to-one, monomorphisms). So you can simply apply the inverse functions in inverse order to 12, so first the inverse of ln, which is exp, then the inverse function of •-2 and then the inverse function of 5*•.

  2. anonymous
    • 5 years ago
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    how would u write that

  3. anonymous
    • 5 years ago
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    \[ln(5x-2) = 12\] \[\implies 5x-2 = e^{12}\] And continue to solve for x.

  4. anonymous
    • 5 years ago
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    Remember that \[e^{ln\ a}=a\] So were just raising e to the power of each side of the equation to remove the natural log function.

  5. anonymous
    • 5 years ago
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    would the answer be -1.3523

  6. anonymous
    • 5 years ago
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    No. It's definitely not a negative number.

  7. anonymous
    • 5 years ago
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    could u show me how to get the answer

  8. anonymous
    • 5 years ago
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    How would you solve 5x - 2 = 162754

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