Question

Uniqueness Property

Answer 1

Where are you stuck?

Answer 2

I only know how to use this with logs

Answer 3

i personally am dying to know what "uniqueness property" is

Answer 4

@Cola_161 do you know \(\dfrac{1}{5}=5^{-1}\) ?

Answer 5

yes

Answer 6

For 23) \((\dfrac{1}{5})^{3k} = 5^{-3k}\)
does it make sense to you?

Answer 7

It's 5^4 not -3k

Answer 8

I didn't touch the right hand side yet!! , just the left hand side. Be patient, please. You need understand what is going on. OK?

Answer 9

no I'm talking about the actually equation

Answer 10

i didn't solve anything, you just didn't put the exponent right for the 5

Answer 11

I understand. I think the person need patience is me. hahahaha...
Again,
\(\dfrac{1}{5})^{3k} = 5^{-3k}\) OK with this step??

Answer 12

yeah but how come the -3k is there for both exponents

Answer 13

not both exponents!!! just the left hand side

Answer 14

Now, I combine with the right hand side. Give me time OK? let me type the whole thing out.

Answer 15

\[\Huge (\dfrac{1}{5})^{3k}= 5^4\\\huge {5}^{-3k}=5^4 \]
Now make comparison, you have
-3k =4
solve for k , you have k = -4/3

Answer 16

alrighty