Question

if P and q are solution of the equation 5^(log^2 power 3 base 5) +x^logpower x base 5 =1250 then log power p base q has the value equal to​

Answer 1

Answer:

GIVEN: log2= a

& log3 =b

TO find: log25/8 in terms of a & b

For writing in terms of a & b , we represent log25 & log8 in terms of log2 & log3

But 25 can not be factorized to 2 or 3,

So, log25/8 can be represented as log(100÷4) /8

= log(100 ÷ 2²)/2^3

= log 100 - 2log2 - 3log2( as log(a÷b) =loga-logb)

= 2 - 2a -3a ( as log100 =2 & loga^b= b loga)

= 2- 5a

Hope this helps you......