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levacccp [35]
3 years ago
6

What is the solution to the equation 14 ^ (x + 3) = 21?

Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0
The answer to your question is b
sukhopar [10]3 years ago
5 0
\bf 14^{x+3}=21\implies log(14^{x+3})=log(21)\implies (x+3)log(14)=log(21)
\\\\\\
x+3=\cfrac{log(21)}{log(14)}\implies x=\cfrac{log(21)}{log(14)}-3

and surely you'd know what that is.
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8. Solve for x.<br> A 30<br> C 180<br> B 60<br> D 90
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Answer:

<em><u> </u></em><em><u>Given </u></em><em><u>:</u></em>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>An </u></em><em><u>equilateral</u></em><em><u> Triangle</u></em><em><u> </u></em><em><u>i.e </u></em><em><u>a </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>which </u></em><em><u>have </u></em><em><u>all </u></em><em><u>it's</u></em><em><u> </u></em><em><u>side </u></em><em><u>equal.</u></em>

<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em>

<em><u>=</u></em><em><u>></u></em><em><u>The </u></em><em><u>value </u></em><em><u>of </u></em><em><u>(</u></em><em><u>2</u></em><em><u>x</u></em><em><u>)</u></em><em><u>°</u></em>

<em><u>-</u></em><em><u>-</u></em><em><u>-</u></em><em><u>-</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>-</u></em><em><u>-</u></em><em><u>-</u></em><em><u>-</u></em><em><u>❣️</u></em>

<h2><em><u>Solution</u></em><em><u> </u></em></h2>

<em><u>----_______----❣️</u></em>

<em><u>1</u></em><em><u>. </u></em><em>We </em><em>know</em><em> </em><em>that </em><em>the </em><em>sum </em><em>of </em><em>a </em><em>triangle</em><em> </em><em>is </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em>2.We </em><em>also </em><em>know</em><em> </em><em>that </em><em>all </em><em>the </em><em>sides </em><em>of </em><em>a </em><em>triangle</em><em> </em><em>are </em><em>equal</em><em> </em><em>hence,</em><em> thier</em><em> </em><em>corresponding</em><em> </em><em>Angles </em><em>are </em><em>Equal</em><em> </em><em>too.</em>

<em>So.</em><em>.</em><em>.</em>

<em> </em><em><u>Each </u></em><em><u>angle </u></em><em><u>measures </u></em><em><u>6</u></em><em><u>0</u></em><em><u>°</u></em><em><u>. </u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>(</u></em><em><u>.</u></em><em><u>1</u></em><em><u>)</u></em>

<em><u>3</u></em><em><u>.</u></em><em><u> </u></em><em>using(</em><em>1</em><em>)</em><em>,</em>

<em>We </em><em>can </em><em>find</em><em> the</em><em> </em><em>value</em><em> </em><em>of </em><em>x</em>

<h2><em>=</em><em>></em><em> </em><em>2</em><em>x</em><em>°</em><em> </em><em>=</em><em>6</em><em>0</em><em>°</em></h2><h2><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x=</em><em> </em><em>6</em><em>0</em><em>/</em><em>2</em></h2><h2><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x=</em><em> </em><em>3</em><em>0</em></h2>

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