Question

if 2.5 is raise x is equal to 0.025 raise to Y equal to 10 raise to 3 then find one by x minus one by Y

Answer 1

Given: 2.5 is raise x is equal to 0.025 raise to Y equal to 10 raise to 3

To find: The value of 1/x - 1/y

Solution:

• Now we have given the term (2.5)^x = (0.025)^y = 10^3

• Now taking log on all sides, we get:

                  log(2.5)^x = log(0.025)^y = log 10^3

• Now solving, we get:

                  x log(25/10) = y log(25/1000) = 3 log 10

• Taking 1 st and 3 rd, we get:

                  x log(25/10) = 3 log 10

                  x (log 25 - log 10) = 3 log 10

                  x = 3 log 10 /  (log 25 - log 10)

• Now reciprocating it, we get:

                  1/x = (log 25 - log 10) / 3 log 10 ........................(i)

• Now Taking 2 nd and 3 rd, we get:

                  y log(25/1000) = 3 log 10

                  y ( log 25 - log 1000 ) = 3 log 10

                  y =  3 log 10 / ( log 25 - log 1000 )

• Now reciprocating it, we get:

                  1/y =  ( log 25 - log 1000 ) / 3 log 10........................(ii)

• Now operating (i) - (ii), we get:

             1/x - 1/y =  (log 25 - log 10) / 3 log 10 - ( log 25 - log 1000 ) / 3 log 10

             1/x - 1/y = - log 10 + log 1000  /  3 log 10

              1/x - 1/y =  -1 + 3 / 3(1)

              1/x - 1/y = 2/3

Answer:

            So the value of 1/x - 1/y is 2/3.

Answer 2

Answer:

Step-by-step explanation:

This is the correct answer of this question