Question

find the value of 3³^x+³=9^x+⁴​

Answer 1

Answer:

Ans. : 5

Step-by-step explanation:

  3^(3x+³  = 9^(x+⁴​)

=) 3^(3x+³) = (3²)^(x+⁴)

=) 3^(3x+³) = 3^(2x+8)

=) 3x + 3 = 2x + 8 [∵the bases are same]

=) x = 5 Ans.

Answer 2

Step-by-step explanation:

(3^3)^(x+3) = 9^(x+4)

so lets make bases equal

(3)^(3x+9) = (3)^(2x +8)

now lets compare powers

3x+9 = 2x+8

3x-2x = 8-9

x = -1

so val of equation will be

3 ^( 3 (-1) +9) = 3 (2(-1)+8)

3^6 = 3^6

729 = 729 answer