Condense the logarithmic expression $\log \left(7\right)-2\log \left(12\right)$

Step-by-step Solution

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Final answer to the problem

$\log \left(\frac{7}{144}\right)$
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Step-by-step Solution

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  • Condense the logarithm
  • Expand the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$

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$\log \left(7\right)-\log \left(12^{2}\right)$

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Learn how to solve integrals with radicals problems step by step online. Condense the logarithmic expression log(7)-2log(12). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n). Calculate the power 12^{2}. The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right).

Final answer to the problem

$\log \left(\frac{7}{144}\right)$

Exact Numeric Answer

$-1.313264$

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Function Plot

Plotting: $\log \left(\frac{7}{144}\right)$

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1
2
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

How to improve your answer:

Main Topic: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

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