Question

if 2^x=512 then 3^x=?​

Answer 1

Step-by-step explanation:

2^x=512

2^x=2^9

if bases are equal then powers must be equal.

x= 9

3^x=3^9

19683

19683 is the answer

I hope it helps you......................

Answer 2

Answer:

According to the question, 3^x = 19383

Step-by-step explanation:

2 ^ x = 512

2 ^ x = 2 ^ 9 [ Here, bases are same in both side. If bases are equal in both side then powers have to be equal. ]

so, x = 9

now we know the value of x which is 9.

so, we can easily calculate the value of (3 ^ x)......(i)

now, we have to put the value of x in equation (i)

3^9 = 19383  

3^x = 19383