right so you can see here this is called as a word base this is called as exponent S three will be representative the same thing here okay representations foreign because the reason is simple here so you can see here important foreign foreign [Music] foreign [Applause] like whenever the base is foreign foreign our Mata okay that is more than enough so in case logarithm a into B okay base is equal should be equal to sometimes base 10 is a by B is basically and product rule and dividend rule quotient rule log a to the power of n is log iCal base is am I clear am I clear to all right divisions so here also log a minus log B log a minus log B sub next one next one is remind as it is foreign more than enough to crack the problems here so let's get started with the first point in detail again I'm not explaining because I'm not explaining all those things okay so most favorite questions so what we need to calculate here value of x calculator generally gels are value of x calculator right B to the power of X is foreign what we are doing here what we are doing think think logically so can I write it down 25 to the power of X and E5 is there any problem foreign right so this is a one way of asking question right on the second question this is your homework do it answer into do let me know in the comment section now let's move on to the third question same question but 25 plus right so let's move on to this question here so equation Quantum logical easy easy can I say yes yes sir we can write it down okay sir so log 2 and that is 2 to the power of 400 in Brackets minus n can be written as both one by e to the power of n can I say so 1 by e to the power of n naughty a to the power of minus so let's get uh started so logarithm base 2 here base 2 here 2 to the power of 4 hours this is what what we have here so either property logism log a to the power of n will be nothing but n log Acer n log a the same thing here but a plus minus four only write it down foreign and and three to the power of X is equal to 5 to the power of x minus 2 Under so it is so you can see here foreign you can see X multiplied with the log three so next up no problem x minus 2 multiply with the word log 5. x minus 2 multiply with the word log five okay sir understood till now everything is clear so X Log 5 and minus 2 log so e x is so log three so minus log Phi okay next time no problem so X comma these questions so log 3 minus log five right log 3 minus Log 5 and this can be written as a What minus log Pi Square can I write it down sir which property the same property again minus uh foreign X into log 3 by 5. is equal to minus log 25. Square so from that X can be written as minus log y Square divided by what log three by five Square okay so from that X values properties okay see that just by using that log a to the power of n property so log five to the power of together log minus log 3 will be equal to what log X log X ah sorry pins our problem is done two to get canceled because the thing is that 3 to the power of a moth in the 2 into 1 by 2 then the two to get canceled so log 25 plus log 3 minus log 3. equal to log X equal to log X log 3 log 3 get canceled so both sides compare just the value of x will be equal to 25. but no need to worry here E Line equations in this session if 2.3 to the power of equal to not minus right simple to the power of X will be equal to what percent age 0.23 to the power of Y is equal to image so the value of what we need to calculate 1 by x minus 1 by y okay sir understood sir understood actually because we want the value of a what 1 by X though 1 by X so now just uh so okay let it be the Thousand so next modified 0.23 right is equal to thousand one by clear let us take this is my equation number one let us take this is my equation number two sir understood sir yes you guys are with me yes let us do it one divided by two let us do it 1 divided by two let us do it so 2.3 divided by what 0.23 is equal to 1000 whole to the power of what 1 by x divided by thousand to the power of what 1 by y so a to the power of M divided by a to the power of M property sir a to the power of M minus thousand to the power of what 1 by x minus 1 by y okay sir understood sir yes sir hello sir let's move forward multiplication right so equal to 100 multiplication is three get canceled can I say yes yes but I can write it down yes or no tell me yes no right sir so whenever the powers are equal basis bases are equal to three multiply with one by x minus 1 by Y is equal to what one sir e three inside this calendar one minus x 1 by Y is equal to what sir one by three sir is equal to what one by three let me explain here also multidirect questions like very short answers right questions right that's it guys that's it for the today session I will meet you in the next strategies videos or next classes until then tata bye bye see you