Question

Oblicz:
a) log√5 5∛5
b) log2 8√2

Bardzo bym prosiła z rozpisaniem :)

Answer 1

A)
log √5 z 5∛5 = a
√5^a = 5∛5
(5¹/²)^a = 5×5¹/³
5^1/2a = 5^4/3
1/2a = 4/3
a = 8/3
b)
log₂8√2 = b
2^b = 8√2
2^b = 2³×2¹/²
2^b = 2⁷/²
b = 7/2