Question

a^x=b^p , b^y = c^2p, c^z= a^4p then prove that xyz = 8p^3​

Answer 1

Answer:

10 can be written as 10=(10 )^(log 10)

100 can be written as 100=( 10)^(log 100)

1000=(10)^(log 1000)

=10^3=1000 )

a^x=b

Now (10)^(log a )^x=10^log b

Since base is same (10),we can equate the exponents.

(log a)^x = log b

Or x log a =log b

Or x = (log b ) / (log a)

Similarly y=(log c)/(log b)

z =(log a) /( log c)

xyz =(log b)/(log a) X (log c)/(log b) X (log a)/( log c) = 1

xyz = 1 ANSWER.