Question

Solve (Square root of 6)^8 x = 216^x−3.

Answer 1

I'm sorry, I don't know how to put a square root in this equation

Answer 2

so this wan being ((sqrt6)^8)x or x is exponent too ? and on the other side what is exponent just x or x-3 ?

Answer 3

Yes, x is apart of the exponent, actually I will send photo

Answer 4

ok and on the right side ?

Answer 5

Here is photo

Answer 6

ok now is more clearly

so there are

(sqrt6)^8x = 216^(x-3)

Answer 7

(sqrt6)^8x = (6)^((1/2)*8x) = 6^(8x/2) =6^(4x)

and on the other side do you can rewriting the 216 like a power of 6 ?

Answer 8

in this way 6^2 = 36 so 6^3 = 36*6 = ?

Answer 9

use a calculator please collaborate

Answer 10

Yes I see

Answer 11

so than how will be 216 = 6^(?)

Answer 12

216

Answer 13

4

Answer 14

I mean 3

Answer 15

yes 3 is right

Answer 16

so than you can writing

Answer 17

6^(4x) = 6^3

yes ?

Answer 18

yes

Answer 19

so than you see the 6 base on the other sides are the same so how you think when will be this sides equal ?

Answer 20

Yes, they will be equal

Answer 21

ok but when ? how need being these exponents too same with the base of 6 ?

Answer 22

We divide yes?

Answer 23

Now we have 4x=3

Answer 24

so looke please 6^x =6^y just in case than x=y

do you understand me now ?

Answer 25

yes exactly how you wrote above

Answer 26

4x =3 than x = ?

Answer 27

3/4

Answer 28

but there are 216^(x-3)
yes ? what we forgot it

Answer 29

so than 216 = 6^3 so there will be 6^3(x-3)

yes ?

Answer 30

so in this case will result

4x = 3(x-3)

do you can solving it now for x ?

Answer 31

are you here please ?

Answer 32

yes

Answer 33

Internet is slow

Answer 34

ok wait

Answer 35

4x=3x-9

x=-9

Answer 36

yes you are right but do you understand it now sure clearly ?

Answer 37

Yes, thank you

Answer 38

I appreciate this very much

Answer 39

welcome

was my pleasure

bye bye good luck

Answer 40

Bye