Question

Really need help with exponential functions! PLEASE

1/25 = 5^x+4
8 = 2^x+4
(sqrt6)^8x = 216^x-3

Answer 1

8=2^x +4 move the 4 and subtract it to 8 so is 4=2^x and then do logarithm

Answer 2

so the answer for the first one is 2?

Answer 3

or second one***

Answer 4

I was doing the second one

Answer 5

the first one is the same

Answer 6

4=2^x you don't need to take a log for this. 2 to what power equals 4... what's 2^2?

Answer 7

true ^

Answer 8

1/25 = 5^x+4

subtract 4 from both sides first

Answer 9

i just don't understand how to do it because of the exponent

Answer 10

where there is a power to the exponents, you use logarithms

Answer 11

Don't worry about the exponent, until you've got it alone on one side... then deal with it.

Answer 12

i'm sorry i still don't get it :(

Answer 13

Just worry about getting it alone for now. Subtract 4 on both sides of this:

1/25 = 5^x+4

Answer 14

-3 24/25 = 5^x

Answer 15

It'd be easier to make it into a decimal

-3.96 = 5^x

this has no solution - an exponential like 5^x is always positive, your answer is no solution.

Answer 16

thats not even a possible answer
:(

Answer 17

the possible answers are
x= -7/2
x = -6
x = 9/2
x = 2

Answer 18

are you sure this is the equation?
1/25 = 5^x+4

Answer 19

the x+4 is all ^

Answer 20

like x+4 is all an exponent

Answer 21

You gotta specify that, use brackets...

1/25 = 5^(x+4)

1/25 is the same as 5^(-2)

\[\Large 5^{-2}=5^{x+4}\]

Answer 22

oh okay sorry i will next time

Answer 23

so 8 = 2^(x+4)
and (sqrt 6)^8x = 216^(x-3)

Answer 24

Wait we didn't finish the last one... did you find x?

Answer 25

no i don't understand how to do it from exponents at all

Answer 26

\[\Large 5^{-2}=5^{x+4}\]since the bases, 5, are equal, the exponents must be equal

-2 = x+4

Answer 27

so -6

Answer 28

how do i do the other ones?

Answer 29

(sqrt 6)^8x = 216^(x-3)

sqrt 6 is 6^0.5, 216 is 6^3
so we have
\[\Large (6^{0.5})^{8x} = (6^3)^{x-3}\]

Answer 30

you can simplify that if you remember some exponent rules