Try solving (2 to the x - 1 power) over (2 to the 3 - 4x power) = 16 without a calculator

How to solve an exponential equation without a calculator. Learn more math at TCMathAcademy.com/.
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[@nickcellino1503]

John's solution is best but there's a second way to tackle the problem using cross multiplication that does not require knowledge of division of exponents:

[@armchairtin-kicker503]

First, understanding the properties of exponents and logarithms is essential for doing well in the calculus series. Accordingly, I disagree with John's reasoning, his reasoning about the bases being the same as the justification for equating exponents. I believe one still has to go through the transformation, the transformation for eliminating the base of 2 by using one of the logarithm identities, a step which takes less time than the justification he provided and is easier to write:

[@louf7178]

I did it using log base 2, but this is a good one too.

[@kennethwright870]

X-1-3+4x=4,

[@blanchae]

Well done. I find in math, there's always that twist to see the answer. In this case, it was to convert the right hand side of the equation to base 2.

[@russelllomando8460]

that was cool. thanks.

[@mayfairolu8696]

8/5, very easy.solved it mentally

[@Kamabushi999]

Pretty good

[@ibrahimsoriesittar4293]

8/5

[@danielmadden9691]

a)8/5

[@user-om1be6qb4h]

Most times you must solve the answer period! There is no time to be plugging in possible answers. Please stop talking so much and show how to solve these problems.

[@paulinerichardson2986]

9

[@johnplong3644]

Algebra 1 students will not see this type of problem You see this Algebra 2 and College …You want to pass High School you are going to have to know this Algebra 2 is a high school requirement It wasn’t when I graduated high school in 1976 but it is now I will add you want to have any 4 year degree from college you are going to have to pass college Algebra That is a basic requirement There are many College bound students who test out and don’t have to take college Algebra

[@frankcope6932]

I still don't get it 😮

[@charlesmitchell5841]

X =8/5

[@1961ebutuoy]

x = 8/5

[@edwardharrelson6988]

I'm sorry, it shouldn't have taken 18 minutes to teach a reader these sporoaches to solve this equation. Dies this man just love hearing himself talk?

[@aa-ng4ot]

Why are you pronuncing “problem “ in a weird way?

[@Slerdus]

First

[@annehein6080]

All that talk that you did I still don't understand it cuz you really didn't show us how to do the problem