Question

If 3²× = 27 what is x
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Answer 1

3

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

Answer 2

`x=(3)/(2)`

Explanation:

Given equation:

`3^(2x)=27`

Rewrite 27 in exponential form with base 3:

`\implies 3^(2x)=3^3`

As both exponents have the same base,

`\textsf{Apply exponent rule} \quad a^(f(x))=a^(g(x)) \implies f(x)=g(x)`

`\implies 2x=3`

Divide both sides by 2:

`\implies x=(3)/(2)`