Answer on Question #47022 – Math – Algebra
sqrt 8^x-3 = ^3sqrt 4^2-x
Solution:
3
√8x−3 = √42−x
x−3
2
x−3
(23 ) 2
3(x−3)
2 2
8
35
2−x
3
2−x
(22 ) 3
2(2−x)
2 3
=4
=
=
3(x − 3) 2(2 − x)
=
2
3
9(x − 3) = 4(2 − x)
9x − 27 = 8 − 4x
13x = 35
35
x=
13
Answer: x = 13
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