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Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.
3^2x = 27

Respuesta :

Answer:

The value of x is 3/2.

Step-by-step explanation:

Given data in the question:-

[tex]3^2^x=27[/tex]

We have to find the value x.

Let [tex]3^2^x=27[/tex] be eq(i).

Solving eq (i)

[tex]3^2^x=3^3[/tex]

using the properties of the exponents we have

if aⁿ=aˣ

then n=x

[tex]2x=3\\x=3/2[/tex]

Hence the answer is 3/2.

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