log_10((1/(2√2))*(p+2q))=(1/2)(log_10p+log_10q),p,q>0,find p in terms of q.
log10[(1/2√2)(p+2q)]=(1/2)(log10p+log10q)log10[(1/2√2)(p+2q)]=(1/2)(log10pq)log10[(1/2√2)(p+2q)]=log10(pq)1/2(1/2√2)(p+2q)=(pq)1/2(p+2q)2=8pqp2+4pq+4q2=8pqp2-4pq+4q2=0(p-2q)=0thus => p=2q
HX
Related Maths IB answers
All answers ▸Find a and b (both real) when (a+b*i)^2=i.
All tickets for a concert are the same price. Amy and Dan pay £63 for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?
The quadratic equation 2x^2-8x+1 = 0 has roots a and b. Find the value of a + b and ab
Given that y = arcos(x/2) find dy/dx of arccos(x/2) and hence find the integral from 0 to 1 of arcos(x/2)dx