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How do you solve #2^(x+4) = 3^(x-1)#?

1 Answer

sankarankalyanam

Jun 22, 2018

#x = 9.5414#

Explanation:

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

#=>(x + 4) log 2 = (x-1) log 3#

#=> (x+4) * 0.301 = (x-1) * 0.4772#

#x (0.4772 - 0.301) = (4 * 0.301 + 0.4772)#

#0.1762 x = 1.6812#

#x = 1.6812 / 0.1762 = 9.5414#

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