Ask Question
4 September, 05:51

What is 2 (log3 (8) + log3 (z)) - log3 (3^4 - 7^2) written as a simple logarithm?

+4
Answers (1)
  1. 4 September, 06:19
    0
    log₃ (2z²)

    Step-by-step explanation:

    2 (log₃8 + log₃z) - log₃ (3⁴ - 7²)

    = 2[log₃ (2³) + log₃z] - log₃ (81 - 49)

    = 2 (3log₃2 + log₃z) - log₃ (32)

    = 6log₃2 + 2log₃z - log₃ (2⁵)

    = 6log₃2 + 2log₃z - 5log₃2

    = log₃2 + log₃ (z²)

    = log₃ (2z²)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What is 2 (log3 (8) + log3 (z)) - log3 (3^4 - 7^2) written as a simple logarithm? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers