Com es resol 5 ^ (x + 2) = 8,5?

Com es resol 5 ^ (x + 2) = 8,5?
Anonim

Resposta:

# x = log_5 (0,34) #

Explicació:

# 5 ^ (x + 2) = 8,5 #

Si apliquem logaritmes, obtindrem:

# x + 2 = log_5 (8,5) #

# x = log_5 (8.5) -2 #

# x = log_5 (8.5) -log_5 (5 ^ -2) #

# x = log_5 (8.5 / 25) #

# x = log_5 (0,34) #

o bé # x = ln (0,34) / ln (5) #