Question

If(5.6)x=(0.056)y=10000 then find [1/x-1/y] value

Answer 1

Answer:

Please see the attachment

Answer 2

Answer:

Given

If(5.6)x=(0.056)y=10000

${(5.6)}^{x} = {(0.056)}^{y} = {10}^{4}$

$5.6 = {10}^{ \frac{4}{x} }$

$0 .056 = {10}^{ \frac{4}{y} }$

$\frac{5.6}{0.056} = \frac{ {10}^{ \frac{4}{x} } }{{10}^{ \frac{4}{y} } }$

$\frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y}$

Therefore

$= {10}^{\frac{4}{x} - \frac{4}{y} }$

$100 = {10}^{\frac{4}{x} - \frac{4}{y} }$

${10}^{2} = {10}^{\frac{4}{x} - \frac{4}{y} } \\ \\ \frac{4}{x} - \frac{4}{y} = 2$

$\frac{1}{x} - \frac{1}{y} = \frac{2}{4} \\ \frac{1}{x} - \frac{1}{y} = \frac{1}{2}$

#SPJ3