Simplify/Condense log of x/100

Problem

(log_)(x/100)

Solution

1. Identify the logarithmic property for division, which states that the logarithm of a quotient is the difference of the logarithms.

(log_b)(M/N)=(log_b)(M)−(log_b)(N)

2. Apply the formula to the given expression, assuming a common logarithm (base 10).

(log_)(x/100)=(log_)(x)−(log_)(100)

3. Evaluate the constant term (log_)(100) by determining the power to which 10 must be raised to get 100.

10=100

(log_)(100)=2

4. Substitute the value back into the expression to reach the simplest form.

(log_)(x)−2

Final Answer

(log_)(x/100)=(log_)(x)−2

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