Expand the logarithmic expression $\log_{4}\left(\frac{1}{64}\right)$

Step-by-step Solution

Go!
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
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

Final answer to the problem

$-3$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choisir une option
  • Simplifier
  • Écrire en logarithme simple
  • Produit de binômes avec terme commun
  • Méthode FOIL
  • Load more...
Can't find a method? Tell us so we can add it.
1

Apply the formula: $\log_{b}\left(\frac{x}{y}\right)$$=\log_{b}\left(x\right)-\log_{b}\left(y\right)$, where $b=4$, $x=1$ and $y=64$

$\log_{4}\left(1\right)-\log_{4}\left(64\right)$

Learn how to solve développement des logarithmes problems step by step online.

$\log_{4}\left(1\right)-\log_{4}\left(64\right)$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve développement des logarithmes problems step by step online. Expand the logarithmic expression log4(1/64). Apply the formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), where b=4, x=1 and y=64. Apply the formula: \log_{a}\left(b\right)=logf\left(b,a\right), where a=4, b=1 and a,b=4,1. Apply the formula: x+0=x, where x=-\log_{4}\left(64\right). Apply the formula: \log_{b}\left(x\right)=\log_{b}\left(pfgg\left(x,b\right)\right), where b=4 and x=64.

Final answer to the problem

$-3$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Help us improve with your feedback!

Function Plot

Plotting: $-3$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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
|◻|
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:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

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

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account