Question

Log[10log(5log100)]^2

Answer 1

Answer:

$\large\boxed{\sf{2}}$

Step-by-step explanation:

${ log(10 log(5 log100) ) }^{2} \\ \\ = 2 log(10 log(5 log100) ) \\ \\ = 2 log(10 log(5 \times 2) ) \\ \\ = 2 log(10 log10) \\ \\ = 2 log(10 \times 1) \\ \\ = 2 log(10) \\ \\ = 2 \times 1 \\ \\ = 2$

Concept Map :-

• $log( {x}^{2} ) = 2 log(x)$
• $log(10 ) = 1$
• $log(100) = 2$