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Find the logarithm of $4$ to the base $2$ using change of base

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 Solution

 Videos

Derivative of log_x (for any positive base aÃÂ1) | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=2XB4K6T-yKo

Algebra 2 - Using the change of base formula to solve, log7 (2401) = x

https://www.youtube.com/watch?v=2ijkCh8S-ZE

How to take the derivative of logarithm base 4

https://www.youtube.com/watch?v=ou6d3whJ1rY

Algebra 2 - Describe and solve for the zeros using quadratic formula x^2 - 4x + 40 = 0

https://www.youtube.com/watch?v=1tzMPeAmo1Q

Change of base formula | Logarithms | Algebra II | Khan Academy

https://www.youtube.com/watch?v=OkFdDqW9xxM

Algebra 2 - How to find the solutions of a quadratic using the quadratic formula, 4x^2 + x = 3

https://www.youtube.com/watch?v=ZQu6QjBgXS8

 Function Plot

Plotting: $\frac{\log \left(4\right)}{\log \left(2\right)}$

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1

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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

 How to improve your answer:

 Main Topic: Base change formula of logarithms

Find logarithms when the base is different from $10$, using the base change formula: $\log_a(x)=\frac{\log_{10}(x)}{\log_{10}(a)}$.

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