Question

343^x = 49^4-x what is the value of x

Answer 1

as a fraction it would be 8/5 

Answer 2

`x={(8)/(5)`

Explanation:

The given equation is:

`343^x=49^(4-x)`

Create equivalent expressions in the equation that all have equal bases, thus

`7^(3(x))=7^(2(4-x))`

Since the bases are the same, then two expressions are only equal if the exponents are also equal, thus

`3(x)=2(4-x)`

`3x=8-2x`

`5x=8`

`x={(8)/(5)`

which is the required value of x.