Question

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

Answer 1

Answer:

$x={\frac{8}{5}$

Step-by-step 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

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

$3x=8-2x$

$5x=8$

$x={\frac{8}{5}$

which is the required value of x.

Answer 2

As a fraction it would be 8/5