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Solve the logarithmic equation $\log_{3}\left(2x+1\right)=2$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=4$
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Step-by-step Solution

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log3(2*x+1)=2. Express the numbers in the equation as logarithms of base 3. For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Calculate the power 3^{2}. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 1 from both sides of the equation.

Final answer to the problem

$x=4$

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Function Plot

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

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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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Main Topic: Logarithmic Equations

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

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