Question

2^a=5^b=20^c.Express c in term of a and b.

Answer 1

Let 2^a=5^b=20^c=m
nw 2=m^1/a 5=m^1/b 20=m^1/c
we know that 2.2.5=20
therefore we can write m^1/a X m^1/a X m^1/b=m^1/c
=>1/a+1/a+1/b=1/c
=>2/a+1/b=1/c

Answer 2

Thank for reply and answer.