Question

If 3 X 27^x = 9 ^(x+4) then calculate the value of x and write it.​

Answer 1

Answer : 7 ✔️

Solution :

Given that :

3 × 27^x = 9^(x+4)

=> 3 × 3³^x = 3²^(x+4)

=> 3¹ × 3^3x = 3^(2x+8)

( When base is same them powers will be added )

=> 3^(1+3x) = 3^(2x+8)

On comparing :

1 + 3x = 2x + 8

=> 3x - 2x = 8 - 1

=> x = 7

I hope it will be helpful for you ☺️

Answer 2

Answer:

X=4

Step-by-step explanation:

→3×27^x=9^x+4

→81^x=9^x+4

→9^2x=9^x+4 [as 81 is square of 9]

now as the bases are same then their power must be Equal so

→2x=X+4

→2x-x=4

→X=4