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:

Discounted With Recourse

A financing arrangement where the seller is liable to the buyer for any debts or obligations not fulfilled, with the key aspect being the discount given on future receivables.

Customer Defaults

Occurs when a customer fails to fulfill their payment obligations for goods or services received.

Repay

To pay back or return money that was borrowed from an individual, institution, or entity.

Allowance for Doubtful Accounts

A contra-asset account used to estimate the portion of a company's receivables that may not be collectible.