Solve open parentheses square root of 6 close parentheses to the 8 x power = 216x−3.

Asked by maham237 @ in Mathematics viewed by 312 People

x = −9
x = −3
x = 0
x = 4

Answered by maham237 @


We can make the base of the equation same on both the sides and then equate the exponents to get the answer as shown below:

(\sqrt{6})^{8x}=(216)^{x-3} \\ \\ (\sqrt{6})^{8x}=(6^{3})^{x-3} \\ \\ (6^{\frac{1}{2}}) ^{8x}=(6)^{3x-9} \\ \\ (6)^{4x} =(6)^{3x-9} \\ \\ 4x=3x-9\\ \\ 4x-3x=-9\\ \\ x=-9

Therefore, first option gives the correct answer


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