1. calculators
  2. Expanding Logarithms

Expanding Logarithms Calculator

Get detailed solutions to your math problems with our Expanding Logarithms step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

Go!
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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

1

Solved example of expanding logarithms

$\log\left(\frac{xy}{z}\right)$
2

The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$

$\log \left(xy\right)-\log \left(z\right)$
3

Applying the logarithm product rule

$\log \left(x\right)+\log \left(y\right)-\log \left(z\right)$

Final Answer

$\log \left(x\right)+\log \left(y\right)-\log \left(z\right)$

Struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!