Question

2log4*log16 256+ log√2 8

Answer 1

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Answer 2

To solve this logarithmic expression, let's break it down step by step:

1. Use logarithmic properties to simplify the expression:

a) log4(16) = 2 because 4^2 = 16. b) log16(256) = 4 because 16^4 = 256. c) log√2(8) = 3 because (√2)^3 = 8.

2. Substitute the simplified values back into the original expression:

2log4log16(256) + log√2(8) = 22 + 3

3. Perform the calculations:

2*2 + 3 = 4 + 3 = 7

So, the value of the expression is 7.