The value of log2 {log4 (log5 (625)4]} is
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Answer:
The value of
log₂ (log5 625) = 2.
Step-by-step explanation:
We have,
log₂ (log5 625)
To find, the value of log₂ (log5 625) =?
log₂ (log5 625)
= log₂ (log5 54) =
- log₂ (4 log5 5)
[log am = m log a
= log₂ (4 × 1)
[loga a = 1
= log₂ 22
= 2 log₂ 2
= 2 x 1 = 2
Hence, the value of log₂ (log5 625) = 2.
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