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# Solve the logarithmic equation $y=\log_{3}\left(8\right)$

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##  Final answer to the problem

$y=\frac{\log \left(8\right)}{\log \left(3\right)}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Differential
• Find the derivative
• Find the integral
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
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1

Change the logarithm to base $10$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}$. Since $\log_{10}(b)=\log(b)$, we don't need to write the $10$ as base

$y=\frac{\log \left(8\right)}{\log \left(3\right)}$

Learn how to solve logarithmic equations problems step by step online.

$y=\frac{\log \left(8\right)}{\log \left(3\right)}$

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation y=log3(8). Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base. section:Verify that the solutions obtained are valid in the initial equation. The valid solutions to the logarithmic equation are the ones that, when replaced in the original equation, don't result in any logarithm of negative numbers or zero, since in those cases the logarithm does not exist.

##  Final answer to the problem

$y=\frac{\log \left(8\right)}{\log \left(3\right)}$

$y=1.8927893$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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1
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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

###  Main Topic: Logarithmic Equations

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