Question

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I WILL AWARD MEDAL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

c=-5/2
c=7/2
c=4
c=7

Answer 1

\[25^(2c)=\sqrt5^(4c-10)\]

Answer 2

@primeralph @Jamierox4ev3r @Callisto @Hero

Answer 3

Which of the following is the solution to the equation

Answer 4

Can you try to input the question better?

Answer 5

Ok

Answer 6

\[25^(2c)=\sqrt5^(4c-10)\]

Answer 7

25^(2c)=sqrt(5)^(4c-10)

Answer 8

Same thing.

Answer 9

This is how it is given to me

Answer 10

That is not a option.

Answer 11

Even if you simplify that you get -5

Answer 12

@primeralph

Answer 13

Solve for c.

Answer 14

It is -5

Answer 15

See that is not an answer

Answer 16

Tag someone else to see.

Answer 17

Ok

Answer 18

@Hero @Callisto @ash2326

Answer 19

@Luigi0210 @tkhunny

Answer 20

@bahrom7893

Answer 21

@nincompoop

Answer 22

\[25^{2c}=\sqrt{5}^{4c-10}\]?

Answer 23

yes

Answer 24

Change the bases then, do you know how?

Answer 25

okay, i'll give you one hint:
\[25=5^2\]
\[\sqrt{5}=5^{1/2}\]

Answer 26

What is that supposed to mean.

Answer 27

It means change them so they have the same base

Answer 28

\[25^{2c}=\sqrt{5}^{4c-10}\]it means rewrite this so that there are only 5s on the bottom.

Answer 29

Oh

Answer 30

It is A.
Correct me if I am wrong

Answer 31

no guessing, show us the solution

Answer 32

Well I squared both sides so that is what I got.
@campbell_st

Answer 33

@bahrom7893

Answer 34

PLease @bahrom7893 @campbell_st @Jamierox4ev3r @ash2326 @Callisto @primeralph @Preetha

Answer 35

Help me

Answer 36

Should I keep going?

Answer 37

PLease

Answer 38

Continuing off of what bah said, change the bases

Answer 39

HOW

Answer 40

Okay.. you know that:
\[25=5^2\]
and \[\sqrt{5}=5^{1/2}\]
right?

Answer 41

Yes

Answer 42

Now what

Answer 43

Change the bases in your equation:
\[25^{2c}=\sqrt{25}^{4c-10}\]
is the same as:
\[5^{2(2c)}=5^{1/2(4c-10)}\]
When you have same bases you can just set the exponents equal to each other:
2(2c)=1/2(4c-10)

Answer 44

I AM LOST

Answer 45

@agent0smith

Answer 46

8c = 4c-10.

Answer 47

I really don't know how to make it any more simpler..

Answer 48

OK @primeralph

Answer 49

It is A like I SAID THE FIRST TIME

Answer 50

Yeah.

Answer 51

THNX @primeralph

Answer 52

MEPS WHAT YOU LOOKING AT KEEP MOVING

Answer 53

Make me

Answer 54

Meps.

Answer 55

yo prime... its the latex

Answer 56

Just joking relax

Answer 57

I like your picture

Answer 58

come at me bro

Answer 59

ok... all you need to do is have both sides mof the equation with the same base... which will be 5

and apply the power of a power law

\[(x^a)^b = x^{a \times b}\]

so you'll have

\[(5^2)^{2c} = (5^{\frac{1}{2}})^{4c - 10}\]

apply the power of a power law

\[5^{2 \times 2c} = 5 ^{\frac{1}{2} \times (4c -10)}\]

so you are looking at

\[5^{4c}= 5^{2c - 5}\]

since the based are the same you can equate the powers

so you need to solve

4c = 2c - 5

for c

hope this makes sense