Solve the exponential equation using the method of relating the bases by first rewriting the equation b^u=b^v

6^x2/36^x=216

Question

Solve the exponential equation using the method of relating the bases by first rewriting the equation b^u=b^v

6^x2/36^x=216

amistre64 · Answer

well, 6^3 = 216, i remember that from a test I took a long time ago for some reason

anonymous · Answer

:-)

anonymous · Answer

so (-1,3)?

anonymous · Answer

yep

amistre64 · Answer

6^(x^2)
------- = 6^3 ; unless I see it wrong, this is saying that 1 = 216
(6^2)^x)

anonymous · Answer

crud, it says (-1,3) isn't right

anonymous · Answer

really?  6^(x^2)/(36^x)=216   =>  6^(x^2-2x)=216  => x = -1 or x = 3.  is the problem written correctly?

anonymous · Answer

$$6^{x2} \div36^x=216$$

amistre64 · Answer

http://www.wolframalpha.com/input/?i=6^%28x^2%29%2F36^x+-+216 tehm is correct, but if your working with a program its prolly wanting a specific format

anonymous · Answer

thanks, I formatted the answer wrong. doh! You had the right one.

amistre64 · Answer

:)  i loathe working with programs ....