Find the value of log4 6425616 A 02 B 30103 C 5 D 6 E 69315

Find the value of log_4 64-256/16. A. 0.2 B. 3.0103 C. 5 D. 6 E. 6.9315 F. none of these 12. Find the logarithm of (4 - Squareroot4 -^3Squareroot4 -^4Squareroot4) base 2. A. 2/3 B. 1.2543 C. 2.8881 D. 3.4150 E. 25/6 F. none of these 13. Prove the product property of logarithms. log_b m/n log_b m - log_b n, using the properties of exponents.

Solution

11.
log4 (64*256/16)
=log4 (4*256)
=log4 (4) + log4 (256)   {using log (a+b) = log a + log b}
= 1 + log4 (4^4)     {using log (a^b) = b* log a}
= 1 + 4*log4 (4)
= 1+4*1
= 5
Answer: C