Question

If (1.7)m=(0.17)n=100 then find the value of 1bym-1byn

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{The \ value \ of \frac{1}{m}-\frac{1}{n}=0.0163}$

$\bold\orange{Given:}$

$\bold{(1.7)m=(0.17n=100)}$

$\bold\pink{To \ find:}$

$\bold{\frac{1}{m}-\frac{1}{n}}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{(1.7)m=(1.7)n=100}$

$\bold{=>m=\frac{10000}{170}}$

$\bold{=>n=\frac{10000}{17}}$

$\bold{\tt{\therefore{\frac{1}{m}-\frac{1}{n}}}}$

$\bold{=\frac{170}{10000}-\frac{17}{10000}}$

$\bold{=\frac{163}{10000}}$

$\bold{=0.0163}$

$\bold\purple{The \ value \ of \frac{1}{m}-\frac{1}{n}=0.0163}$