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Katena32 [7]
3 years ago
14

2^(x-4) = 4a^(x-6) what is the value of x? ​

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

First you have to make the values equal....

which is 2^(x-4)=2a^2(x-6).

then since 2 are equal and its x we are looking for.

x-4=2x-12.

x-2x=-12+4.

-x=-8.

x=8.

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The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dis
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For the following telescoping series, find a formula for the nth term of the sequence of partial sums
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I'm guessing the sum is supposed to be

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S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

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