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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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*•.
how would u write that
\[ln(5x-2) = 12\] \[\implies 5x-2 = e^{12}\] And continue to solve for x.

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Other answers:

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

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