Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Simplify the following expression:

[tex]\[ \log 1,000,000 - \log 100 = \log (\square) \][/tex]

(Simplify your answer.)

Sagot :

GinnyAnswer
To solve the expression [tex]\(\log 1,000,000 - \log 100\)[/tex], we can utilize the properties of logarithms. One of the fundamental properties of logarithms is that the difference of two logarithms is equal to the logarithm of the division of their arguments. Specifically,

[tex]\[ \log a - \log b = \log \left( \frac{a}{b} \right) \][/tex]

Applying this property to our problem,
[tex]\[ \log 1,000,000 - \log 100 = \log \left( \frac{1,000,000}{100} \right) \][/tex]

Next, we need to simplify the fraction:
[tex]\[ \frac{1,000,000}{100} = 10,000 \][/tex]

So,
[tex]\[ \log 1,000,000 - \log 100 = \log 10,000 \][/tex]

Therefore, the simplified answer is:
[tex]\[ \log (\boxed{10,000}) \][/tex]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.