How to Solve Logarithmic and Exponential Equations with Different Bases: Step-by-Step Tutorial

How to Solve Logarithmic and Exponential Equations with Different Bases and Check Answers for Extraneous Solutions. Also Learn other Essential Logarithmic Rules. Step-by-Step Tutorial by PreMath.com

[@BobBob-uv9fq]

I like how he says “huuuuullllo again everyone “

[@Matt-iy7pr]

Thank u for vid! It help me practice logarithm

[@basilrex4105]

In this particular equation since + 5/3 appears on both the right and left side, the value of the log is 0 which means x - 1 =1 and x = 2

[@kennethokoro6817]

Thanks for taking the time to really teach this God bless you the more with wisdom to teach others in JESUS name.Amen.

[@BobBob-uv9fq]

It actually makes me chuckle watching this ,how cute

[@keithedwards2841]

Excellent teaching

[@PreMath]

Thanks Keith Edwards for the feedback. Your input is always appreciated. Kind regards

[@kibeterick5776]

This is amazing

[@keithedwards2841]

This teaching makes math easy

[@PreMath]

Thanks again Keith Edwards. Kind regards

[@ЈеленаЦавнић]

He made it harder...He always ue this.metod and this metod is long and hardest....

[@AmirgabYT2185]

x=2

[@jemanishajones9707]

I watched and liked it

[@bongthomreviewkh563]

thanks

[@ganeshdas3174]

The given expression comes to x=2 after change' of base law, cancellation and exponential form

[@devondevon4366]

log 8 32 + log 2 (x-1) = 5/3 log 8 32 = log 2 32 ______________ = 5/3 log 2 8 So log 2 (x-1) = 5/3 - 5/3 = 0 So log 2 (x-1) = 0 Therefore x= 2 since 2^0= 1 and for x-1 to equal 1 then x , must = 2 as x-1= 1 , x must= 1+1= 2 Answer x =2 note that since log 8 32 also =5/3, then log 2 (x-1)=0, therefore the argument '(x-1)' must = 1 therefore x must =2, so answer again 2

[@PreMath]

Thanks for the feedback. Kind regards :)

[@itsahmd295]

No need. 8 min for this. 8^y=32 2^3y=2^5 3y=5 y=5/3 then substitute. Log2(x-1)=5/3 - 5/3 log2(x-1)=0 2^0= x-1 x=1+1 x=2

[@adgf1x]

=>5/3+log(x-1)base2=5/3=>x-1=2^0=1=>x=2ans

[@calipsoceo7812]

Woe