Learn How to Solve Exponential Equations Using Two Different Methods | Step-by-Step Tutorial

1) 2^(2x-3) = 5^(1-x)
2) 7^(x-2) - 3^(2x+1) = 0

[JC-dbnd]

Hello sir! I've been watching your logarithm videos and you have explained everything in an elaborate manner which I found especially helpful, because you have shown how to apply different logarithmic rules in your solution. Don't mind the haters who keep complaining for not using much quicker methods, many of us like learning how different rules can be applied on one equation and from there we can develop our own approach to solving problems. Every good professor knows better 😉 thank you and please keep the videos coming! I'm studying for a very detailed test and your channel is wonderful!

[fdrisgreat]

Thank you for these videos. I had to help my daughter do these kind of calculations and I haven't done these types of exponential calculations in years. Thank you for your concise explanations.

[johnhebert]

You are my favorite YouTube math teacher. I like your voice; it is relaxing and informative at the same time. Nice job.

[ccuny]

Yes, thank you very much. I realised I had made a mistake when I kept on reading about logs. Thank you for taking the time to answer. It helps a lot.

[maxhagenauer]

Better way I think is to just to split the base with a sum in the power as a product of 2 numbers with their own exponent, divide to get the constants one 1 sides and x's on the other, take x out, and just do 1 logarithm and its over. For example:

2^(2x - 3) = 5^(1 - x)

2^(2x) / 2^3 = 5 / 5^x

4^x * 5^x = 8 * 5

20^x = 40

x = log_20(40) or log(40) / log(20)

[dicboxdicbox]

Full solution in one page, + explanation very good lesson

[mayaahmad]

thank you so much it helped so much this topic was so hard but this video actually explained it well.

[hillarycruze]

Am learning a lot Sir.please keep up with different topics and your explanation are really great and easy to understand

[ccuny]

Is it correct to say that when a log has no base specified, it is in base e and can also be written as ln? If so, why is sit sometimes written as log and sometimes ln? Is it just a matter of preference or are there situations in which the form matters?

[mathbytv]

You have really great explanations! You have my support.

[palvi]

Very nicely and smoothly you are explaining.

[mohammedalblushi]

Thank you very much my respected teacher ❤

[jamesolaitan]

Your explanation is excellent sir, keep up the good work sir

[venkatk]

Log values could have been entered at the beginning itself using calculator!
Right or wrong??

[wadesireofficial]

Thanks sir! you are very excellent....

[MasterMathematicsSM]

Hai sir how are you.. hope you are fine

[danielkusi]

your writing is too small I can't it properly