Topics

More AI tools from SnapXam

Exercise

$ln\left(\frac{4}{x^3}\right)$

Step-by-step Solution

1

The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator

$\ln\left(4\right)-\ln\left(x^3\right)$
2

Decompose $4$ in it's prime factors

$\ln\left(2^{2}\right)-\ln\left(x^3\right)$
3

Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$

$2\ln\left(2\right)-\ln\left(x^3\right)$
4

Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$

$2\ln\left(2\right)-3\ln\left(x\right)$

Final answer to the exercise

$2\ln\left(2\right)-3\ln\left(x\right)$

Try other ways to solve this exercise

  • Choose an option
  • Solve for x
  • 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
  • Load more...
Can't find a method? Tell us so we can add it.

Similar Questions Solved

$\log_3\left(\frac{1}{81}\right)$

$\log\left(10x^5\right)$

$\log_3\left(2x\right)$

$\log_4\left(\frac{1}{64}\right)$

$\log_3\left(x^2\right)$

$\ln\left(3x\right)$

$\log\left(2x\right)$

Main Topic: Expanding Logarithms

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

Related Topics

Symbolic mode
Text mode
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
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

Empowering students and teachers through AI

By signing up, you agree to SnapXam's Terms and Privacy Policy.

Already have an account? Login here
Forgot your password?

Empowering students and teachers through AI



Register here if you don't have an account.
Forgot your password?

Your Personal Math Tutor. Powered by AI

Available 24/7, 365 days a year.

Complete step-by-step math solutions. No ads.

Choose between multiple solving methods.

Download unlimited solutions in PDF format.

Premium access on our iOS and Android apps.

Join 1M+ students worldwide in problem solving.

Choose the plan that suits you best:
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account