Question

answer this question fast​

Answer 1

Answer:

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(81)^2x= (729)^2

(3)^4^2x= (3)^ 6^2

(3)^ 8x = (3)^12

8x = 12

x = 12/8

3/2

Answer 2

Answer:

Over here, the bases are not same. So first, we have to make the bases same

⇒ (81)^2x = (729)^2

⇒ (9^2)^2x = (27^2)^2

⇒ (9)^4x = (27)^4

⇒ (3^2)^4x = (3^3)^4

⇒ (3)^8x = (3)^12

Now that the bases are same, we can know take out the bases and form an equation with only the exponents which is a law of exponents, which is

If a^m = a^n, then m = n

So, by applying the law,

⇒ (3)^8x = (3)^12

⇒ 8x = 12

⇒ x = 12/8

⇒ x = 1.5 or 3/2

∴ The value of x in the given expression is 1.5 or 3/2

Thnx and have a nice day!

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