Question

if 3 raise to power x - 1 equals to 81 then find the x raise to power x​

Answer 1

SOLUTION

GIVEN

$\sf{ {3}^{x - 1} = 81}$

TO DETERMINE

$\sf{ {x}^{x} }$

EVALUATION

$\sf{ {3}^{x - 1} = 81}$

$\sf{ \implies {3}^{x - 1} = {3}^{4} }$

$\sf{ \implies x - 1 = 4 }$

$\sf{ \implies x = 5}$

Hence

$\sf{ {x}^{x} }$

$\sf{ = {5}^{5} }$

$= 3125$

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Answer 2

Answer:

x=5

5⁵=3125

hope it helps you