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Expand the logarithmic expression $\log_{3}\left(\frac{51}{10}\right)$

Used Formulas

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Solution

Formulas

Videos

Properties of Logarithms

· Product rule
$\log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right)$

Function Plot

Plotting: $\log_{3}\left(17\right)+1+\log_{3}\left(2\right)\left(-1\right)+\log_{3}\left(5\right)\left(-1\right)$

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◻2
◻◻
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◻√◻
◻√
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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

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Similar Problems Solved

$\ln\left(2\cdote\right)$

$\ln\left(e^{11\left(-1\right) y^{\left(-1\right)}}\right)$

$\ln\left(\frac{13}{10}\right)$

$\ln\left(e^{11\left(-1\right)\cdot y}\right)$

$\ln\left(2^3\right)$

$\ln\left(\frac{2+5}{2}\right)$

$\ln\left(\frac{49}{20}\right)$

Main Topic: Expanding Logarithms

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

Used Formulas

1. See formulas

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