Question

Which of the following options is an equivalent function to f(x) = 2(5)^2x?

f(x)=50^x

f(x)=100^x

f(x)=2(25)^x

f(x)=4(25)^x

Answer 1

@YoungStudier @welshfella

Answer 2

@AloneS

Answer 3

For example:

\(\large\color{black}{ \displaystyle 3^{4x} =\left(3^4\right)^x=81^x }\)

and therefore, if I had:

\(\large\color{black}{ \displaystyle 6\times 3^{4x} =6\times \left(3^4\right)^x=6\times 81^x }\)

Answer 4

You are using the same rules, but with different numbers.
Hope this helped.

Answer 5

so then the answer is D

Answer 6

did the coefficient "6", in my example change ?

Answer 7

\(\large\color{black}{ \displaystyle 2\times 5^{2x} =2\times \left(5^2\right)^x=\quad? }\)

Answer 8

25

Answer 9

50

Answer 10

are you still there?

Answer 11

Yes, but I have a feeling that you need more RVW on the topic.

Answer 12

well can u help me

Answer 13

Lets try this once again

Answer 14

\(\large\color{blue}{ \displaystyle f(x) = 2(5)^{2x} }\)

\(\large\color{blue}{ \displaystyle f(x) = 2(5^2)^{x} }\)

\(\large\color{black}{ \displaystyle 5^2=5\cdot 5 = 25 }\)

Answer 15

\(\large\color{black}{ \displaystyle f(x) = ? }\)

Answer 16

25

Answer 17

You mean that f(x)=25 ??

Answer 18

yes

Answer 19

you have dropped the exponent and the coefficient....

Answer 20

you seem to be too behind...