Question

What missing exponent would make this true??
(25)(√6:(25))=5^(x)

Answer 1

What is the colon for?

Answer 2

sorry, mathway is gay and it didnt help and thats what is does for ^4sqrt

Answer 3

Oh, gotcha. I think putting a space between the ^4 and the sqrt will get rid of that problem.
Does it look like:
\[\frac{25}{(\sqrt{6})^4\sqrt{25}}=5^x\]

Answer 4

\[25\sqrt[4]{25}=5^{x}\]

Answer 5

i learned something new on here, thats what it looks like

Answer 6

Oh, gotcha
25 is the same as 5 squared, and the fourth root of 25 is the same as 25 to the 1/4 power.
\[(5^2)(25^{\frac{1}{4}})\]Substitute 25 = 5 squred again.
\[(5^2)((5^2)^{\frac{1}{4}})\]Simplify.
\[(5^2)(5^{\frac{1}{2}})\]\[5^{2+\frac{1}{2}}\]\[5^{\frac{3}{2}}\]

Answer 7

I have to solve for x, and i have a choice, and what you put up there is not a choice :\

Answer 8

choices are : 7/2 , 7/6 , 1/3 , 7/3

Answer 9

Oh, shoot.
\[5^{2+\frac{1}{2}}=5^{5/2}\]
It should be 5/2, not 3/2

Was there a 6 somewhere in there? I saw one in the original equation, but not in the second time you posted.

Answer 10

Ah look how stupid i am, its not your fault, its mine yes there is a six not a four\[25\sqrt[6]{25}=5^{x}\]

Answer 11

Oh, okay. I was worried, because I kept getting 5/2. Are you okay solving it? It's the same steps.

Answer 12

yeah i can try lol

Answer 13

Okay, I'll stick around just in case you need help. The solution is one of those choices.

Answer 14

yeah i need help XD.

Answer 15

Sorry, im not good wit this

Answer 16

No worries, how far did you get?

Answer 17

to be honest, i dont understand this and mathway abd wolframalpha has been my thing on this, I have no clue how to do this

Answer 18

Okay. So are you okay with
\[25=5^2; \sqrt[6]{25}=25^{1/6}\]

Answer 19

yes

Answer 20

Okay, so rewriting the equation, we get
\[(5^2)(25^{1/6})=5^x\]
So the first step is to get rid of any radical signs.

Answer 21

k

Answer 22

By looking at the equation, we notice that 5 is the base for two of the exponentials and 25 is the base for the other one. It would be nice to make them all have the same base.
\[(5^2)(5^2)^{1/6}=5^x\]
So, second step: Try to make all the bases the same.

Answer 23

How are you doing so far?

Answer 24

sorry, i got to go. summer school out, maybe we do this later, i just guessed on my test and failed

Answer 25

Alright. Let me know if you ever want help. Take care.