Convert to Logarithmic Form 49=7^2

Problem

49=7

Solution

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

2. Recognize that in the equation 49=7 the base b is 7 the exponent y is 2 and the result x is 49

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 get (log_7)(49)=2

Final Answer

49=7⇔(log_7)(49)=2

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