anonymous
  • anonymous
ln (5x-2)=12 approximate the solution to four decimal places
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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nowhereman
  • nowhereman
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*•.
anonymous
  • anonymous
how would u write that
anonymous
  • anonymous
\[ln(5x-2) = 12\] \[\implies 5x-2 = e^{12}\] And continue to solve for x.

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anonymous
  • anonymous
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.
anonymous
  • anonymous
would the answer be -1.3523
anonymous
  • anonymous
No. It's definitely not a negative number.
anonymous
  • anonymous
could u show me how to get the answer
anonymous
  • anonymous
How would you solve 5x - 2 = 162754

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