Question

X^3+ 3^x=17 solve for the value of x

Answer 1

Answer:

Here is your answer:

x=2

Step-by-step explanation:

Consider the equation,

${x}^{3} + {3}^{x} = 17$

we have to take such a number whose cube when sumed with 3 with the power of that number result as the number 17

let's take cases:

Case 1:

supose x=1

》

${1}^{3} + {3}^{1} \: should \: be \: \: = 17$

which is never possible because ( 1 + 3 ) = 4 which is not = 17.

Case 2:

suppose x=2

》

${2}^{3} + {3}^{2} = 17$

》

$8 + 9 = 17$

》

$17 = 17$

hence, here we should stop as we get the value of x i.e.

$x = 2$

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