Convert to Logarithmic Form 10^x=100

Problem

10=100

Solution

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

2. Recognize that in the equation 10=100 the base b is 10 the exponent y is x and the result x is 100

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)=x

5. Simplify the notation by noting that a logarithm with base 10 is commonly written as (log_)()

Final Answer

10=100⇒(log_)(100)=x

Want more problems? Check here!