Condense each expression: 9. 3log₂x + 4log₂ (x - 16) Solve for x: 11. log,81 + x = 2log,729 10. log54 + logx - 5log(x - 1) 3 12. log₂ (x + 4) + log₂ (x - 4) = log₂20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Condense each expression:**

9. \( 3 \log_2 x + 4 \log_2 (x - 16) \)

10. \( \log 54 + \frac{2}{3} \log x - 5 \log (x - 1) \)

**Solve for \( x \):**

11. \( \log_3 81 + x = 2 \log_3 729 \)

12. \( \log_2 (x + 4) + \log_2 (x - 4) = \log_2 20 \)
Transcribed Image Text:**Condense each expression:** 9. \( 3 \log_2 x + 4 \log_2 (x - 16) \) 10. \( \log 54 + \frac{2}{3} \log x - 5 \log (x - 1) \) **Solve for \( x \):** 11. \( \log_3 81 + x = 2 \log_3 729 \) 12. \( \log_2 (x + 4) + \log_2 (x - 4) = \log_2 20 \)
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