English

Find the value of log_4 ⁢1/64. - Mathematics

Advertisements
Advertisements

Question

Find the value of `log_4  1/64`.

Sum
Advertisements

Solution

To find the value of `log_4  1/64`, express `1/64` as a power of 4:

We know:

43 = 64

⇒ `1/64 = 4^-3`

So, `log_4 (1/64) = log_4(4^-3) = -3`

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Logarithms - EXERCISE 7A [Page 72]

APPEARS IN

B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
EXERCISE 7A | Q 3. (vi) | Page 72
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×