How do you solve this exponential equation? 3 ( 16 ) x </msup> + 2

Cierra Castillo

Cierra Castillo

Answered question

2022-07-03

How do you solve this exponential equation?
3 ( 16 ) x + 2 ( 81 ) x = 5 ( 36 ) x
How do you change the bases to combine the terms? The correct answer should be 0 and 0.5.
Edit: So this equation can't be solved algebraically? I have to use creative logic to solve it?

Answer & Explanation

Dayana Zuniga

Dayana Zuniga

Beginner2022-07-04Added 16 answers

Let a = 4 x and b = 9 x . Note that our equation can be rewritten as
( 3 a 2 b ) ( a b ) = 0.
Remark: Minor modification of the numbers will give us an equation whose solutions do not have nice closed form.
Joel French

Joel French

Beginner2022-07-05Added 10 answers

It might be useful if you can see this as
3. ( 2 x ) 4 + 2. ( 3 x ) 4 = ( 2 + 3 ) ( 2 x .3 x )
Suppose if at all 2 x = 3 x = 1 then you have 2 + 3 = 2 + 3.. and what does this mean for x?

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?