13Tidn
Answered

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x^(3x) = 64

Solve for x with solution. Both x's have the same value.​

Sagot :

MrChrisidn

[tex]\underline{\underline{\large{\red{\mathcal{✒GIVEN:}}}}}[/tex]

[tex]\bullet \: \: \rm{x^{3x }= 64}[/tex]

[tex]\underline{\underline{\large{\red{\mathcal{REQUIRED:}}}}}[/tex]

We need to find the value of [tex]\rm{x}[/tex].

[tex]\underline{\underline{\large{\red{\mathcal{SOLUTION:}}}}}[/tex]

Hi, Brainly User! Let me help you finding your x. Let me know if the equation, is wrong.

First, let's rewrite 64 into 8²:

[tex]\tt{ {x}^{3x} = {8}^{2} }[/tex]

Remember that 8 can also be written as 2³.

[tex]\tt{ {x}^{3x} = ( {2}^{3} {)}^{2} }[/tex]

[tex]\rm{or}[/tex]

[tex]\tt{ {x}^{3x} = {2}^{3(2)} }[/tex]

[tex]\implies[/tex] As we can see above, [tex]\rm{2^3(2)}[/tex] matches with [tex]\rm{x^{3x}}[/tex] to which we can replace "x" with 2.

Final Answer:

Therefore, the value of x is 2.