Question

sendo log a^2=20 e log a^5= 30 calcule o valor de log a^100
socorro

Answer 1

Vamos lá.

Loga¹°° = 
log(a²⁰ .a⁵) = 
loga²° + loga⁵=
loga².log(a⁵*²)+loga⁵ = 
loga²+loga⁵+loga²+loga⁵ = 
20 + 30 + 20 + 30 = 100