Math Problem Statement

Log d/a

Solution

The logarithmic expression logda\log \frac{d}{a} can be simplified using the properties of logarithms, specifically the quotient rule, which states:

logMN=logMlogN\log \frac{M}{N} = \log M - \log N

Applying the Rule

logda=logdloga\log \frac{d}{a} = \log d - \log a

This expresses the logarithm of the fraction da\frac{d}{a} as the difference of two logarithms.

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5 Related Questions

  1. How do you simplify logarithmic expressions with multiplication?
  2. What are the other key properties of logarithms?
  3. How do you solve equations involving logarithms?
  4. How does the base of a logarithm affect its properties?
  5. How do logarithms apply to exponential equations?

Tip

When simplifying logarithmic expressions, always check if additional properties (e.g., power or product rules) can be applied to simplify further!

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Math Problem Analysis

Mathematical Concepts

Logarithms
Properties of Logarithms
Algebra

Formulas

log(M/N) = log M - log N

Theorems

Quotient Rule of Logarithms

Suitable Grade Level

Grades 9-12