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# Solve the logarithmic equation $y=x^{\log \left(6\right)x}$

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##  Final answer to the problem

$y=x^{\log \left(6^x\right)}$
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##  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

Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=x$, $b=10$ and $x=6$

$y=x^{\log \left(6^x\right)}$

##  Final answer to the problem

$y=x^{\log \left(6^x\right)}$

##  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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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.