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

Problem

(1/2)(−3)=8

Solution

1. Identify the components of the exponential equation, which is in the form by=x

2. Determine the base b which is 1/2

3. Determine the exponent y which is −3

4. Determine the result x which is 8

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

6. Substitute the values into the logarithmic form.

Final Answer

(1/2)(−3)=8⇔(log_1/2)(8)=−3

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