goldstarbeach
goldstarbeach
13-11-2017
Mathematics
contestada
If loga 2=logb 8,show that a^3=b.
Respuesta :
mathstudent55
mathstudent55
13-11-2017
log[a] 2 = log[b] 8
log[a] 2 = log[b]2^3
log[a] 2 = 3log[b] 2
log[b] 2 = (log[a] 2)/(log[a] b) <---- change of base
log[a] 2 = 3(log[a] 2)/(log[a] b)
3/(log[a] b) = 1
log[a] b = 3
a^3 = b
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