math12
posted by saya on .
solve 5^(p+4)= 2^(45p)to 2 decimal places

take log of both sides
log(5^(p+4)) = log(2^(45p))
(p+4)log5 = (45p)log2
p log5 + 4log5 = 4log2  5p log2
p(log5 + 5log2) = 4log2  4log5
p = (4log2  4log5)/( log5 + 5log2) = appr .72