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vampirchik [111]
4 years ago
14

WILL GIVE BRAINLIST IF ANSWERS QUICKLY!

Mathematics
1 answer:
stealth61 [152]4 years ago
5 0

Answer:

choice a is the answer

0.17

Step-by-step explanation:

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How do i solve this exponential equation<br>​
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Answer:

  x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

__

  3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}

_____
<em>Additional comment</em>

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

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You play tennis with your friend every week. From all of the past games, you know that each game is independent and you estimate
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Step-by-step explanation:

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Step-by-step explanation:

Generally, the expansion is written in decreasing powers of "a", so the first few terms would have variable constellations that look like ...

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