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Expand the logarithmic expression $\log_{5}\left(5^2\right)x^8$

Step-by-step Solution

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Solution

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Final Answer

$2x^8$
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Step-by-step Solution

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Use the following rule for logarithms: $\log_b(b^k)=k$

$2x^8$

Final Answer

$2x^8$

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SimplifyWrite as single logarithmCondense the logarithmExpand the logarithmFind the integralFind the derivativeSolve for x

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Function Plot

Plotting: $2x^8$

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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
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: Expanding Logarithms

Logarithm expansion consists of applying the properties of logarithms to express a single logarithm in multiple logarithms, usually much simpler.

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