Find X when 6 power X+2 =(216)power 2x-1
6^x+2=(216)^2x-1
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6^x+2 = (216)^2x-1
6^x+2 = (6)^3(2x-1)
therefore,
as base are equal now,
powers are equal.
x+2 = 3(2x-1)
x+2 = 6x-3
x - 6x = -3-2
-5x = -5
x = -5/-5
minus sign gets cancel,
x = 1
6^x+2 = (216)^2x-1
6^x+2 = (6)^3(2x-1)
therefore,
as base are equal now,
powers are equal.
x+2 = 3(2x-1)
x+2 = 6x-3
x - 6x = -3-2
-5x = -5
x = -5/-5
minus sign gets cancel,
x = 1
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