Write in Exponential Form log base 3 of 3x-2=2

Problem

(log_3)(3*x−2)=2

Solution

1. Identify the components of the logarithmic equation (log_b)(y)=x where the base is b=3 the argument is y=3*x−2 and the exponent is x=2

2. Apply the definition of a logarithm, which states that (log_b)(y)=x is equivalent to the exponential form bx=y

3. Substitute the identified values into the exponential structure to rewrite the equation.

Final Answer

(log_3)(3*x−2)=2⇔3=3*x−2

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