Convert to Logarithmic Form 2^-3=1/8

Problem

2^(−3)=1/8

Solution

1. Identify the base, the exponent, and the result from the given exponential equation b^x=y

2. Recognize that in the equation 2^(−3)=1/8 the base b is 2 the exponent x is −3 and the result y is 1/8

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

4. Substitute the identified values into the logarithmic form.

Final Answer

2^(−3)=1/8⇔(log_2)(1/8)=−3

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