Solve the Given Equation for X $- 6 = - 7 + 5 e ^ { - 7 x }$

question 12

Multiple Choice

Solve the given equation for x. $- 6 = - 7 + 5 e ^ { - 7 x }$

• A) \(- \frac { e ^ { 5 } } { 7 }\)
• B) \(\frac { \ln 5 } { 7 }\)
• C) \(- 7 e ^ { 5 }\)
• D) \(- \frac { \ln 5 } { 7 }\)

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Definitions:

Gamma Radiation

High-energy electromagnetic radiation emitted from atomic nuclei during radioactive decay, with no mass and no charge.

Penetrating Power

The ability of a type of radiation to pass through material, affecting the extent to which different types of radiation can penetrate materials to different depths.

Belt of Stability

A term used in nuclear physics to describe the region on a chart of nuclides where stable nuclei exist, based on their neutron to proton ratio.

Beta Decay

A radioactive decay process where a beta particle (electron or positron) is emitted from an atomic nucleus, altering the original element to a different one.