Question

X cube 3 + 3 exponent x is equal to 17

Answer 1

Answer:

These kind of problems can be solved only by proper analysis of the values.

So, the way to do this would be to say,

x^3 + 3^x = 17 = 8 + 9 = (2)^3 + (3)^2

And, hence clearly on comparing both sides,

x = 2

Hope this helps you !

Answer 2

Answer:

$\large\boxed{\sf{x=2}}$

Step-by-step explanation:

Given a cubic equation, such that,

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

Now, we have to find the value of x.

Note:- This type of questions are solved by heat and trial methods. We have to put a certain value of x, which will satisfy the above equation. So, let's move further and find out the required value of x.

Let's put x = 1.

Therefore, we will get,

$= > {1}^{3} + {3}^{1} = 1 + 3 = 4$

But, 4 ≠ 17

Therefore, it's not required solution.

Let's put x = 2.

Therefore, we will get,

$= > {2}^{3} + {3}^{2} = 8 + 9 = 17$

Clearly, 17 = 17.

Hence, required value of x = 2