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Solve the exponential equation $7^{\left(2x+1\right)}=3^{\left(x+2\right)}$

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Solution

Videos

Algebra 2 - Learn to solve a rational equation by multiplying by the LCD (15/x)+((9x-7)/(x+2))=9

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

Algebra 2 - Converting an equation to exponential form and then solving log3 (4x-17) = 5

https://www.youtube.com/watch?v=JJCuM8NcWH8

Algebra 2 - Solving for a variable by converting to exponential form log4 (4x-20) = 5

https://www.youtube.com/watch?v=HNPmnB-KG88

Tutorial - How to solve an equation with the variable as the exponent, 3^(x/2) = 315

https://www.youtube.com/watch?v=Nl04VyXDNGI

Algebra 2 - Solve an equation to factor by converting to exponential form logx (5x) = 2

https://www.youtube.com/watch?v=vD-gS0AaAdU

Algebra 2 - Converting an equation to exponential form to solve the logarithm 3x = log6 216

https://www.youtube.com/watch?v=gMxNESC5O-A

Function Plot

Plotting: $7^{\left(2x+1\right)}- 3^{\left(x+2\right)}$

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5
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7
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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
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:

Similar Problems Solved

$2^{6x+7}=\left(\frac{1}{8}\right)^{1-5x}$

$7^{2x+1}=3^{x+2}$

$3^{x+1}=4^{x-1}$

$4^{x-10}=\left(\frac{1}{64}\right)^{5x+2}$

$56^{3x-8}=1$

$4^{9-6x}=\left(\frac{1}{64}\right)^{\frac{10}{3}}$

$2^{x-1}=3^{2x-1}$

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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