solve 3x12x7 Solution3 x1 2 x7 taking log on both sides

solve 3^(x-1)=2^(x-7 )

Solution

3^( x-1 ) = 2^ ( x-7 )

taking log on both sides

(x-1) log 3 = (x-7) log 2

x log 3 - log 3 = x log 2 - 7 log 2

.4771 x - .4771 = .3010x - 2.107

adding .4771 on both sides

.4771x = .3010x - 1.6301

subtracting .3010x on both sides

.1761 x = -1.6301

x = - 9.2566

solve 3^(x-1)=2^(x-7 )Solution3^( x-1 ) = 2^ ( x-7 ) taking log on both sides (x-1) log 3 = (x-7) log 2 x log 3 - log 3 = x log 2 - 7 log 2 .4771 x - .4771 = .3

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