Question

if 3^x= 9/27^x, find x​

Answer 1

Answer:

3^x= 9/27^x

3^x=3^2/3^3x

3^x=3^(2-3x)

now,

since the bases are equal

thus

x=2-3x

x+3x=2

4x=2

x=2/4

x=1/2.

Step-by-step explanation:

Answer 2

Answer:x= 1/2

Step-by-step explanation:since 3^x = (9/27)^x

so, 3^x= ( 3^2/3^3)^x

3^x= 3^2x/3^3x

3^x*3^3x= 3^2x

3^4x= ^2x

since based are equal so exponents must be equal,

so,

4x=2x

4x-2x= 1

2x= 1

x= 1/2