Solve the Equation $5 ^ { 5 x + 6 } = 4 ^ { 8 x }$

question 108

Multiple Choice

Solve the equation. Write the solution set with the exact values given in terms of natural or common
logarithms. Also give approximate solutions to 4 decimal places, if necessary.
- $5 ^ { 5 x + 6 } = 4 ^ { 8 x }$ ; use natural logarithms

• A) \(\left\{ \frac { 6 \ln 5 } { 5 \ln 5 - 8 \ln 4 } \right\} ; x \approx - 3.1732\)
• B) \(\left\{ \frac { 6 \ln 5 } { 8 \ln 4 - 5 \ln 5 } \right\} ; x \approx 3.1732\)
• C) \(\left\{ \frac { \ln 6 } { \ln 8 - \ln 5 } \right\} ; x \approx 3.8122\)
• D) \{ \}

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Definitions:

Trial and Error

A problem-solving method involving repeated, varied attempts which are continued until success, or until the practitioner stops trying.

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