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2 years ago

Given the following logarithmic equation, think about how you would solve each one. Now,

Mathematics

1 answer:

Daniel [21]2 years ago

5 0

Answer: x = 3/2

Step-by-step explanation:

log (2) + log (x) = log (3) Given

log(2x) = log(3) Condensing log rules

2x = 3 Cancellation log rule

$x=\dfrac{3}{2}$ Division Property

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Solve In 2x + In 2=0

irakobra [83]

Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Step-by-step explanation:

We need to solve: $ln(2x)+ln(2)=0$

Solving:

$ln(2x)+ln(2)=0$

Adding -ln(2) on both sides:

$ln(2x)+ln(2)-ln(2)=0-ln(2)$

$ln(2x)=-ln(2)$

Using logarithmic rule: if $log_a b =c\,\,then\,\, b=a^c$

So,

$2x=e^{-ln(2)}$

Simplifying:

$2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}$

So, Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Keywords: Logarithms

Learn more about Logarithms at:

#learnwithBrainly

4 0

3 years ago

19. Which equation is in standard form and represents a line with slope 5 through the point (0, 2)?

alisha [4.7K]

Answer:

y= 5x+2

Explanation:

slope is 5 and the y-intercept is 2.

4 0

3 years ago

How do I do this ? I don't know how to find the midpoint in this problem

finlep [7]

If point A is the midpoint then that means line segments XA and AY are equivalent so you can set:
3x=5x-6
(now you solve for x)
2x=6
(divide by 2 on both sides)
x=3

So BASICALLY,
XA= 3x= 3(3) = 9
AY= 5x-6= 5(3)-6 =9
So now you know the length of both sides, add those together and you get
XY=18

5 0

3 years ago

3 out of 4 students surveyed said they walk to school. The difference between the number of students who walk to school and who

Rina8888 [55]

Answer:

Step-by-step explanation:

3/4x-1/4x=36

1/2x=36

x=72

Please mark me as Brainliest if possible

8 0

2 years ago

Askldfjlaksndv; ioweh;arkbg u;arighuvaerg

Papessa [141]

I certainly agree...

7 0

3 years ago