Question

(2/5)^x*(25/8)^x=125/64

Answer 1

[tex]\left(\frac{2}{5}\right)^x\left(\frac{25}{8}\right)^x=\left(\frac{2}{5}\frac{25}{8}\right)^x=\left(\frac{5}{4}\right)^x \left(\frac{5}{4}\right)^x=\frac{125}{64} \frac{125}{64}=\left(\frac{5}{4}\right)^3 \left(\frac{5}{4}\right)^x=\left(\frac{5}{4}\right)^3 Daca a^{f\left(x\right)}=a^{g\left(x\right)} , atunci f\left(x\right)=g\left(x\right) x=3[/tex]