Angenommen, # (12 ^ (x + 1) × 3 ^ (1-x)) / 2 ^ x = k (2 ^ (x-1)) #, helfen Sie bitte, k zu lösen.

Antworten:

# k = 72 #

Erläuterung:

# [12 ^ (x + 1) * 3 ^ (1-x)] / (2 ^ x) = k (2 ^ (x-1)) #

# 4 ^ (x + 1) * 3 ^ (x + 1) * 3 ^ (1-x) * 2 ^ (- x) = k (2 ^ (x-1)) #

# 2 ^ (2x + 2) * 3 ^ 2 * 2 ^ (- x) = k * 2 ^ (x-1) #

# 2 ^ (x + 2) * 9 = k * 2 ^ (x-1) #

# k = 9 * 2 ^ [(x + 2) - (x-1)] #

# k = 9 * 2 ^ 3 #

# k = 72 #