Solve the Equation for X $$\ln ( 7 x + 5 ) = - 0.1$$

question 222

Multiple Choice

Solve the equation for x. Give an exact solution.
- $$\ln ( 7 x + 5 ) = - 0.1$$

• A) \(\left\{ \frac { e ^ { - 0.1 } - 5 } { 7 } \right\}\)
• B) \(\left\{ \frac { e ^ { - 0.1 } + 7 } { 5 } \right\}\)
• C) \(\left\{ e ^ { - 0.1 } - 5 \right\}\)
• D) \(\left\{ 7 \left( e ^ { - 0.1 } - 5 \right) \right\}\)

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Definitions:

Nonproductive Time

Periods when production or work is not being done, often due to machine downtime, maintenance, or breaks.

Bottleneck Operation

A stage in a production process that causes a slowdown due to limited capacity, affecting the overall efficiency and output of the process.

Split-off Point

The stage in a manufacturing process where joint products can be recognized as separate products.

Total Revenues

The total income generated by a company from its normal business operations.