Question

$3^{x+a}-3^{x-a} =240$ a.x kactir?

Answer 1

$$3^x.3^a-3^x.3^{-a}=2^4.3.5$$

$$\Rightarrow$$

$$ 3^x(3^{2a}-1)=3^{a+1}.2^4.5$$

$$\Rightarrow $$

$$x=a+1 \,\,\ \text{ve} \,\,\ 3^{2a}-1=2^4.5$$

$$\Rightarrow $$

$$a=2 \,\,\ \text{ve} \,\,\ x=3$$