Convert to Logarithmic Form 7^2=49

Problem

7=49

Solution

1. Identify the base, the exponent, and the result in the given exponential equation bx=y

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

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

4. Substitute the values into the logarithmic form to get (log_7)(49)=2

Final Answer

7=49⇔(log_7)(49)=2

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