Question

25^(2c)=√(5)^(4c+16) solve for c

Answer 1

c=4

Answer 2

thanks!

Answer 3

25^(2c)=√(5)^(4c+16)
25^(2c)=(5)^(4c+16)]^1/2 squaring both sides we get
25^(4c)=(5)^(4c+16) squaring both sides again we get
25^(8c)=(5)^2(4c+16)
25^(8c)=(25)^(4c+16) here we get
(8c)=(4c+16)
4c=16
c=16/4
c=4 ...............ans