Solve for x 3^(3x-4)=3^5

Problem

3(3*x−4)=3

Solution

1. Identify the structure of the equation, noting that both sides have the same base, which is 3

2. Apply the property of equality for exponential functions, which states that if by=bz and b>0,b≠1 then y=z

3. Set the exponents equal to each other to form a linear equation.

3*x−4=5

4. Isolate the variable term by adding 4 to both sides of the equation.

3*x=9

5. Solve for x by dividing both sides by 3

x=3

Final Answer

x=3

Want more problems? Check here!