Question

3 to the power of 3x-5 equals to 1 by 9 to the power of x

Answer 1

Answer:

x= 1

Step-by-step explanation:

3**(3x-5) = 1/9**x (Given)

3**(3x-5) = 1/9**x

3**(3x-5) = 1/(3²)**x

3**(3x-5) = 1/3**2x (by a law of exponents)

3**(3x-5) = 3**-2x (by a law of exponents)

Since bases are now equal, we can equate the powers

3x-5 = -2x

3x+2x = 5

5x = 5

x = 1

Edit : { a**x = a to the power of x}