Question

1 (lg5)^2+lg50*lg2

Answer 1

1.

(lg5)^2 + lg50 * lg2

= (lg5)^2 + (2lg5 + lg2) * lg2

= (lg5)^2 + 2(lg2)(lg5) + (lg2)^2

= (lg2 + lg5)^2 = (lg10)^2 = 1

2.

log↓b(log↓b A)/log↓b A = log↓A(log↓b A)

A^P = log↓b A