Answer:

It is given that 2:9::x:27

But, product of extremes = product of means

∴ 2×27=9×x

=54=9x

x=6

Hence, x=6

Answer:

x=5

Step by step:

(2^x,27)=(32,27)

1st Method

⇒2^x=32

But 2^5=32

⇒2^x=2^5

When bases are equal, there exponents are also equal.

∴ x=5.

2nd Method

2^x=32

We know that ㏒a^b=b㏒a.

Taking log to both sides,

⇒ ㏒2^x=㏒32

⇒ x㏒2=㏒32

⇒ x=㏒32 ÷ log2

⇒ x= 1.5051499783 ÷ 0.3010299957

⇒ x ≈ 1.5 ÷ 0.3

∴ x=5