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Condense the logarithmic expression $\ln\left(x\right)+4\ln\left(y\right)$

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Solution

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Final answer to the problem

$\ln\left(xy^4\right)$
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Step-by-step Solution

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Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression ln(x)+4ln(y). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals 4. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).

Final answer to the problem

$\ln\left(xy^4\right)$

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Plotting: $\ln\left(xy^4\right)$

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0
a
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n
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x
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(◻)
+
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◻/◻
/
÷
◻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

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Main Topic: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.

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