Kudos to your entire program of math classes! You have a nice way of presenting the material while being thorough and not glossing over details. Thanks!
Glad you emphasized the multiplying of 4 times 4x-1 is 16x-4 and not 16x-1. That was where I made my mistake after using the correct procedure to solve the problem.
Do I get any extra stars for solving this completely mentally? Heh! Actually, for me this is cheating. This is because you are doing everything base-2, and I am a computer engineering type
@@oahuhawaii2141 Don't be a dope. That's not mathematics. Mathematics and physics are about theory and formula. You are talking dumbass calculator games. For mathematics and physics (even engineering) it's enough to work out the equation or formula that can be used as a solution. Then you hand it off to a computer to crank out numbers, if required, to analyze experimental results or work out production applications. If you want to know if a student knows his stuff you need to test his ability to work the mathematics, not enter numbers into a calculator. For my 5 years in university doing degrees in math and physics I never touched a calculator in an exam or a problem set.
@@brianburnside5949 Mathematics is finding the formula that provides the solution. This can be done with variables and calculators cannot be used. I think you are talking about plugging in values to the finished formula and computing an answer. Calculators are great for that, but it's not mathematics.
Kudos to your entire program of math classes! You have a nice way of presenting the material while being thorough and not glossing over details. Thanks!
8^x = 16^4x - 1 = 2^3(x) = 2^4(4x - 1) => (because the bases are the same: 2) 3x = 16x - 4 = - 13x = - 4 => 13x = 4 => x = 4/13.
Glad you emphasized the multiplying of 4 times 4x-1 is 16x-4 and not 16x-1. That was where I made my mistake after using the correct procedure to solve the problem.
Wow, I got it right.
Lol I tried to do it in my head and did the exact same rewrite to base 2. But then I made a mistake in solving the basic linear equation in the end...
Slick.
Do I get any extra stars for solving this completely mentally?
Heh!
Actually, for me this is cheating. This is because you are doing everything base-2, and I am a computer engineering type
First again. 😁
That matters?
Yep
x=4/13. A calculator should never be required for maths.
Which is the greater of the two numbers, 1594323^2349 & 1048576^2420? No need for a calculator.
@@oahuhawaii2141 Don't be a dope. That's not mathematics. Mathematics and physics are about theory and formula. You are talking dumbass calculator games. For mathematics and physics (even engineering) it's enough to work out the equation or formula that can be used as a solution. Then you hand it off to a computer to crank out numbers, if required, to analyze experimental results or work out production applications. If you want to know if a student knows his stuff you need to test his ability to work the mathematics, not enter numbers into a calculator. For my 5 years in university doing degrees in math and physics I never touched a calculator in an exam or a problem set.
You do you. I ain't got the time to do math without a calculator. Sure, I mostly don't need one, but for somethings, it very much helps.
@@brianburnside5949 Mathematics is finding the formula that provides the solution. This can be done with variables and calculators cannot be used. I think you are talking about plugging in values to the finished formula and computing an answer. Calculators are great for that, but it's not mathematics.