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Convert to Logarithmic Form 2^3=8

Problem

2=8

Solution

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

  2. Recognize that in the equation 2=8 the base b is 2 the exponent x is 3 and the result y is 8

  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_2)(8)=3

Final Answer

2=8⇔(log_2)(8)=3


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