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Ksivusya [100]
3 years ago
10

Help please! 15 points

Mathematics
1 answer:
Yanka [14]3 years ago
7 0

Answer:

the answer is 23. even tho it says he had 30 at the time you must subtract 7 because thats what he started with. hope i could help! :D

Step-by-step explanation:

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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.

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  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.

3 0
2 years ago
Is 2/3 an irrational number
Zanzabum
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ No it isn't. An irrational number cannot be expressed as a fraction. An example of an irrational number is pi.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
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Read 2 more answers
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Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

7 0
3 years ago
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