Simplify the logarithms with different bases

In this video we will discuss how to simplify logarithms when we have different bases. We can't apply logarithmic properties unless we get the base to be the same first.

✅ How to Graph Exponential Functions

✅ How to Graph Logarithmic Functions

✅ Evaluate Logarithms

✅ Condense and Expand Logarithms

✅ Solve Exponential Equations

✅ Solve Logarithmic Equations

Connect with me:

#brianmclogan #math #logarithms

[rfmizno]

we can also write log base 6 8 as log base 2 8/log base 2 6 then the numerator and denominator will get cut and we will be left with log base 2 8=3

[Retha_Lia]

Amazing!!!! Now logs are starting to make a whole lot of sense.

[ThaoNguyen-ybxq]

Crystal clear, thank you! I am a self-learner so you are officially my teacher. Also, love the new... transparent board?

[siqjowy]

We can't divide the 8 by 2? To simplify? Thanks

[Sultan_A]

💎 Very Good and Please Don’t Be an Idiot, and Keep It Up and Keep Practicin’ 💎ًًً

[gamesshuffler-vn]

A quick note over here :-
According to the video, not all the information given is true. In particular, it is not always true that you can only apply the properties of logarithms when the bases are the same.

The video argues that you can use the change of base formula even when the bases are not the same. The change of base formula states that log
a
​
(b)=
log
x
​
(a)
log
x
​
(b)
​
, where a, b, and x are any positive numbers and a

=1, b

=1.

[davidhong]

Can someone please explain why the answer would not be 4? can ln(8) not be divided by ln(2)?

[garethm]

Please talk slower.
Please talk slower because you're very difficult to understand.