Question

If 3²× = 27 what is x​

Answer 1

Answer:

$x=\dfrac{3}{2}$

Step-by-step 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:

$\implies x=\dfrac{3}{2}$

Answer 2

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