Convert to Logarithmic Form (4/3)^x=(64/27)

Problem

(4/3)x=64/27

Solution

1. Identify the components of the exponential equation by=x where the base is b=4/3 the exponent is y=x and the result is x=64/27

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

3. Substitute the identified values into the logarithmic form.

Final Answer

(4/3)x=64/27⇔(log_4/3)(64/27)=x

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