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Solve the logarithmic equation $y=\ln\left(-x^2+6x\right)$

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Solution

Videos

Algebra 2 - How to use completing the square to solve a quadratic equation y=x^2+8x+13

https://www.youtube.com/watch?v=o6G9YebM3Tg

Algebra 2 - Learn how to solve a quadratic using completing the square, x^2 + 6x - 7 = 0

https://www.youtube.com/watch?v=-bvOjvA9mps

Algebra 2 - How to solve a quadratic when there are no solutions y=x^2+5

https://www.youtube.com/watch?v=5Oe9UkJRjSk

Tutorial - Completing the square, y = x^2 + 6x - 1

https://www.youtube.com/watch?v=BvFx0qGt7I8

How to factor a quadratic equation by using a perfect square

https://www.youtube.com/watch?v=wb4T0j_C8bU

Tutorial Learn how to rewrite an equation from standard to vertex form so we can graph, y=x^2+6x+2

https://www.youtube.com/watch?v=KWsIyXdw2aU

Function Plot

Plotting: $y-\ln\left(-x^2+6x\right)$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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$\log\left(4X^2\right)=128$

$\log_x\left(64\right)=3$

$\log_2\left(x-2\right)+\log_2\left(x+1\right)=2$

$2\cdot log\left(x\right)-1\cdot log\left(x+6\right)=0$

Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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