Question

The number of real roots of the equation ${\left(\frac{3}{5}\right)}^x+\frac{7}{5}=2^x$ is ............

Answer 1

Let $f\left(x\right)={\left(\frac{3}{5}\right)}^x+\frac{7}{5},g\left(x\right)=2^x$
From graph it is clear that there is only one solution $x=1$