Convert to Logarithmic Form 10^4=10000

Problem

10=10000

Solution

1. Identify the base, the exponent, and the result in the exponential equation by=x In this case, the base b is 10 the exponent y is 4 and the result x is 10000

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

3. Substitute the values into the logarithmic form: the base 10 becomes the subscript, the result 10000 becomes the argument, and the exponent 4 becomes the value on the other side of the equation.

Final Answer

10=10000⇔(log_10)(10000)=4

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