Convert to Logarithmic Form 10^x=10000

Problem

10=10000

Solution

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

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

3. Substitute the values b=10 y=x and x=10000 into the logarithmic form.

4. Simplify the notation, noting that a logarithm with base 10 is commonly written as (log_)() without an explicit base.

Final Answer

10=10000⇔(log_)(10000)=x

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