log_a x=z ⇔ a^z=x
In this case:
log (2x+3)=3 ⇔ 10³=2x+3
we have the following equation:
10³=2x+3
1000=2x+3
2x=1000-3
2x=997
x=997/2
x=498.5
Answer: x=498.5
Hey ! there
Answer:
- Length of x is <u>7</u><u> </u><u>cm</u>
Step-by-step explanation:
In this question we are provided with a right angle triangle having <u>h</u><u>ypotenuse 25</u><u> </u><u>cm </u><u>,</u><u> </u><u>base </u><u>2</u><u>4</u><u> </u><u>cm </u><u>and </u><u>perpendicular</u><u> </u><u>x</u><u> </u><u>.</u> And we are asked to find the <u>length of</u> <u>x </u><u>.</u>
For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,
<u>Where </u><u>,</u>
- H refers to <u>Hypotenuse</u>
- P refers to <u>Perpendicular</u>
<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>
Here in the triangle ,
- Hypotenuse is <u>2</u><u>5</u><u> </u><u>cm</u>
- Base is <u>2</u><u>4</u><u> </u><u>cm</u>
- Perpendicular is <u>x</u>
<u>Applying</u><u> </u><u>Pythagorean</u><u> </u><u>Theorem</u><u> </u><u>:</u>
<u></u>
On squaring 24 and 24 we get ,
Subtracting 576 on both sides :
We get ,
Applying square root on both sides :
We get ,
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>length</u><u> </u><u>of </u><u>x </u><u>is </u><u>❝</u><u> </u><u>7</u><u> </u><u>cm </u><u>❞</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,
- ( 25 )² = ( <u>7</u> )² + ( 24 )²
<u>Therefore</u><u>,</u><u> our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
<span> f(x) = –81 (4/3) X-1 f(x) = –81 (-3/4) </span>
<span><span> x --- y
-5 --- 1258
</span><span> -1 --- 6
</span><span> 0 --- 3
</span><span> 4 --- 511
</span></span><span> based on the following function:
f(x)=2*x^4-x+3</span>