solve: algerabra help please

Question

2^x=2^5 ,

8^x=8^15 ,

55^x=55^5643 ,

4^x=16^5 ,

3^x=27^9 ,

8^x=513^-9

Answer 1

2^x=2^5 ,        ⇒ x = 5
 
8^x=8^15 ,       ⇒ x = 15

55^x=55^5643 ,    ⇒ x = 5643

4^x=16^5 ,  4^x = (4^2)^5 = 4^10 ⇒ x = 10

3^x=27^9 ,= (3^3)^9 = 3^27 ⇒x = 27

8^x=512^-9 =( 8^3)^-9 = 8^-27 ⇒x = - 27

Answer 2

1)

2^x = 2^5
x = 5

2)

8^x = 8^15
x = 15

3)

55^x = 55^5643
x = 5643

4)

4^x = 16^5
4^x = (4^2)^5
4^x = 4^(2 * 5)
4^x = 4^10
x = 10

5)

3^x = 27^9
3^x = (3^3)^9
3^x = 3^(3 * 9)
3^x = 3^27
x = 27

6)

8^x = 513^-9
ln (8^x) = ln (513^-9)
x ln(8) = ln (513^-9)
x = ln(513^-9) / ln(8)