Use Logarithms to Solve the Equation $6 \left( 6.5 ^ { 3 x - 2 } \right) = 10$

question 12

Short Answer

Use logarithms to solve the equation. (Round the answer to four decimal places.)
​ $6 \left( 6.5 ^ { 3 x - 2 } \right) = 10$ ​
x = __________

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Definitions:

Subsidies

Financial support provided by governments to entities, aimed at reducing the cost of services and goods, promoting economic and social policies.

Balance of Trade Deficit

A situation where the value of a country's imports exceeds the value of its exports, resulting in a net outflow of domestic currency to foreign markets.

Balance of Payments Surplus

A situation where the total of a country's exports and incoming funds from other countries exceeds its imports and outgoing funds.

Imports

Goods and services purchased from other countries.