Convert to Logarithmic Form 3^x=4.6

Problem

3=4.6

Solution

1. Identify the base, the exponent, and the result in the given exponential equation by=x

2. Recognize the components where the base b=3 the exponent y=x and the result x=4.6

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

4. Substitute the values into the logarithmic form to rewrite the equation.

Final Answer

3=4.6⇔(log_3)(4.6)=x

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