Question

4 = 2 to the power of 5r+1

What is the Value of r???

Answer 1

`4=2^(5r+1)\quad :\quad r=(1)/(5)\quad \left(\mathrm{Decimal}:\quad r=0.2\right)`

`\mathrm{Convert\:}4\mathrm{\:to\:base\:}2\\4=2^2\\2^2=2^(5r+1)\\*\mathrm{If\:}a^(f\left(x\right))=a^(g\left(x\right))\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)\\2=5r+1\\\mathrm{Solve\:}\:2=5r+1:\quad r=(1)/(5)`

Hope this helps!!!

`Sofia`