Question

Find an equivalent function to f(x) = 3(6)2x.

f(x) = 3(36)x
f(x) = 182x
f(x) = 108x
f(x) = 9x(36x)
I think the answer is c

Answer 1

hang on let me clarify some things

Answer 2

ok so its to the power of 2x

Answer 3

f(x) = 3(36)^x
f(x) = 18^2x
f(x) = 108^x
f(x) = 9^x(36^x)

Answer 4

f(x) = 3(6)^2x

Answer 5

\[f(x)=3(6)^{2x}\]
f(x)=3(6)^(2x)
parenthess ^

Answer 6

the first way you said it was right

Answer 7

\[f(x)=3(6)^{2x}\] can be written as \[f(x)=3(6^2)^x\]
exponent rule:
\[(a)^{nx} = (a^n)^x\]

Answer 8

so c :/

Answer 9

what's C ?
is it f(x) = (108)^x ??

Answer 10

yes

Answer 11

no that's not correct.
you can't multiply 3 with (6^2)^x
because (6^2) is raised to the x \[4 * 9^x \cancel{=} 36^x\]

Answer 12

so the answer would be d?

Answer 13

im confused lol

Answer 14

\[f(x)=3(6)^{2x}\]
like i said we can rewrite \[6^{2x} as (6^2)^x\]
\[f(x)=3(6^2)^x\]
now simplify the equation

Answer 15

f(x)=3(36)^x?

Answer 16

Please make a habit of using the character " ^ " to denote exponentiation. We've already lost time here by having to verify your meaning.

f(x) = 3(6)2x would be best expressed by \[f(x)=3(6)^{2x}\] if you're willing to use Equation Editor.

Otherwise use parentheses around the exponent: 3(6)^(2x).

sensitiveandshy is right on target in her explanations.

Yes, your answer is correct. Nice work!

Answer 17

let me retype all the options \[f(x)=3(36)^x\]\[f(x)=(18)^{2x}\]( i think 2nd option looks like this )
\[f(x)=(108)^x\]
Don't know if it is 9 times (36x) or 9^x(36)^x

Answer 18

yes that's correct.

Answer 19

:D thank both and ill make sure to do that from now on

Answer 20

Good going! Thank you for being open to suggestions.