Question

find value of log 265base root 2

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Answer 1

Step-by-step explanation:

• Given  
• find value of log 256 base root 2
• We need to find value of:
• Let log 256 to the base √2 be x
• So (√2) ^x = 256
•  (2^1/2)^x = 2^8
•  2^ x/2 = 2^8
•  When bases are same exponents are equal
•  So x/2 = 8
•  So x = 16
• Log 256 to the base √2 = 16