Question

find the value of x if:
27^x=(3)*(9^ x)​

Answer 1

Answer:

X=1

Step-by-step explanation:

27^X= 3×(9)^X

=> (3×9)^X = 3×(9)^X

=>( 3)^X × (9)^X = (3)^1 × (9)^X

=> (3)^X= (3)^1

comparing the exponents

X= 1

ANSWER=> X= 1

are you satisfied ?

Answer 2

Answer: x = 1

Step-by-step explanation: 27^x = 3 x 9^x

                They can be written as ,

{(3)³}^x = 3 x {(3)²}^x

=   3^3 x = 3 x 3^2 x       Apply law of exponent on R.H.S   a^m x a^n = a^m+n

= 3^3 x = 3^1 + 2 x

Now bases are same , powers can be compared

3 x = 1 + 2 x

3x - 2x = 1

x = 1

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