Question

solve. sqrt 5^8n=125^(n+4)

Answer 1

Get the same base first of all.

\( \color{Black}{\Rightarrow 5^{8n}= (5^3)^{n + 4} }\)

Now you can equate the exponents.

\( \color{Black}{\Rightarrow 8n = 3(n + 4) }\)

Answer 2

yup @ParthKohli is correct!

Answer 3

8n = 3n +12

5n=12

n=12/5

Answer 4

@Jshakour give medal to @ParthKohli he deserves it!

Answer 5

okay so you can just get rid of the sqrt sign in the beginning?

Answer 6

Its \[\sqrt{5} \]

Answer 7

@Jshakour u only need to find the value of n!!!

Answer 8

but in the practice test 12/5 isn't an option...

Answer 9

ok...

Answer 10

the options are 12, 4 and -4 and -12

Answer 11

but @Jshakour that cant be correct