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Solve the logarithmic equation $-2x-21\ln\left(-x+10\right)=y$

Step-by-step Solution

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Final Answer

$y=-2x-\ln\left(\left(-x+10\right)^{21}\right)$
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Step-by-step Solution

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Factor the polynomial $-2x-21\ln\left(-x+10\right)$ by it's greatest common factor (GCF): $-1$

$-\left(2x+21\ln\left(-x+10\right)\right)=y$

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$-\left(2x+21\ln\left(-x+10\right)\right)=y$

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation -2x-21ln(-x+10)=y. Factor the polynomial -2x-21\ln\left(-x+10\right) by it's greatest common factor (GCF): -1. Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals 21. Simplify the product -(2x+\ln\left(\left(-x+10\right)^{21}\right)). Rearrange the equation.

Final Answer

$y=-2x-\ln\left(\left(-x+10\right)^{21}\right)$

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Function Plot

Plotting: $-2x-21\ln\left(-x+10\right)-y$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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:

Main Topic: Logarithmic Equations

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

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