Use Logarithms to Solve the Equation $8 \left( 2.5 ^ { 2 x - 1 } \right) = 10$

question 78

Multiple Choice

Use logarithms to solve the equation. Round your answer to four decimal places. $8 \left( 2.5 ^ { 2 x - 1 } \right) = 10$

• A) \(x = 1.2436\)
• B) \(x = 0.6218\)
• C) \(x = 0.25\)
• D) \(x = - 0.6218\)
• E) \(x = - 1.2436\)

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Definitions:

Membrane Potential

The voltage difference across a cell's plasma membrane, crucial for the conduction of electrical signals in nerve and muscle cells.

Threshold

The minimum level of stimulus intensity required to activate a neuron or to trigger a physiological response.

Depolarization

A process in neurons and muscle cells where the membrane potential becomes less negative, leading towards an action potential.

Repolarization

The restoration of the membrane potential to its resting state after depolarization in excitable cells.