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Convert to Logarithmic Form 10^8=100000000

Problem

10=100,000,000

Solution

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

  2. Recognize the components where the base b=10 the exponent y=8 and the result x=100,000,000

  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_10)(100,000,000)=8

Final Answer

(log_10)(100,000,000)=8


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