How do you solve for x in $3(x-6)^(5/2) = 96$ ?

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Answer 1 · 2015-04-24T00:08:06

$3(x-6)^(5/2)=96$

Reduce by removing obvious common factor ( $3$ )
$rarr (x-6)^(5/2)=32$

Note that $32 =2^5$ so we can take the 5th root of both sides
$rarr (x-6)^(1/2) = 2$

Square both sides to clear the root on the left side
$rarr x-6 = 4$

Isolate $x$
$rarr x=10$

How do you solve for x in 3(x-6)^(5/2) = 963(x-6)^(5/2) = 96?