Respuesta :

mis0016

Answer:

3

Step-by-step explanation:

whenever solving for x, you have to work backwards…like so:
3 squared is 9

27 divided by nine is 3

x=3

To double check the answer, substitute the value that we just found into x

(3x3)x3=27

semsee45

Answer:

[tex]x=\dfrac{3}{2}[/tex]

Step-by-step explanation:

Given equation:

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

Rewrite 27 in exponential form with base 3:

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

As both exponents have the same base,

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x)[/tex]

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

Divide both sides by 2:

[tex]\implies x=\dfrac{3}{2}[/tex]

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