Explanation:

To solve the given expression, we need to simplify it step by step using the properties of logarithms.

Step 1: Evaluate log3 27^3

27 can be written as 3^3, so we have log3 (3^3)^3

Using the power rule of logarithms, we can simplify this to log3 3^9

Using the exponent rule of logarithms, we can simplify this to 9

Step 2: Substitute the value of log3 27^3 in the original expression

log2[log2{log3(9)}]

Using the logarithmic identity logb b = 1, we can simplify this to log2[log2 1]

Using the logarithmic identity logb 1 = 0, we can simplify this to log2 0

Step 3: Evaluate log2 0

Logarithm of 0 is undefined, so the expression is undefined.

Therefore, the value of log2[log2{log3(log3 27^3)}] is undefined.

Answer: log2[log2{log3(log3 27^3)}] = undefined

Log2 [log2 {log3 9}
log2 [log2 2]
log2 1
0 answer