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Amenah8
 one year ago
Calculus: rewrite 9^2x, base 3
Amenah8
 one year ago
Calculus: rewrite 9^2x, base 3

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phi
 one year ago
Best ResponseYou've already chosen the best response.1can you write 9 as 3 to some power?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439220587021:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1did we start with \[ 9^{2x} \] ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03^{4x} is good to me..

phi
 one year ago
Best ResponseYou've already chosen the best response.1if so then we replace 9 with 3^2 \[ \left(3^2\right)^{2x} \] and use the rule \[ \left(a^b\right)^c = a^{b\cdot c} \] to get \[ 3^{2\cdot 2\cdot x} = 3^{4x} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(a^m)^n = (a)^{m \times n}\]

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0so sorry something went wrong with my computer. thanks for staying

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0ah! okay i'm back now, sorry

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0so now i have 3^4x, base 3. does the base 3 just mean that, by replacing 9 with 3^2, I got a base of 3? or do i somehow have to apply base 3 to 3^4x?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yeah, you're done. 3^4x is already in base 3, since 3 is being raised to a power

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0thanks so much!! this is just a quick question, but what would i do for a problem like this where i have to make a fraction 1/8 with a base of 2?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1similar process, except we're dealing with a negative exponent 1/8 = 1/2^3 = 2^(3)

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0how did you know it was 1/2^3?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.18 = 2^3 therefore 1/8 = 1/2^3

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1to make a bit more clear 1/8 = 1/(2^3)

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0i get it! thank you os much!!
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