Question

5^x=0.5^y=1000 then the value of 1/x - 1/y

Answer 1

Answer:

Answer is, (-log5/6)

Step-by-step explanation:

We know that,

5^x=1000 & 0.5^y=1000

Now, taking log both sides----

log5^x=log1000 & log0.5^y=log1000

xlog5=3 & ylog0.5=3

x=3/log5 & y=2/log5

So, 1/x-1/y=log5/3-log5/2

=(2log5-3log5)/6

=(-log5/6)