Target Mathematics

1.55: Logarithmic equations

4PM1/1/June/2016 — Question 6 · 12 marks

Solve
(a) logx1024=5\log_x1024=5 (2)
(b) log3(7y3)=4\log_3(7y-3)=4 (2)
(c) loga25+2loga625=10\log_a25+2\log_a625=10 (3)
(d) logb72log7b+1=0\log_b7-2\log_7b+1=0 (5)