1.39: Write down the value of

4PM1/1R/June/2019 — Question 3 · 7 marks

(a) Write down the value of
log39.\log_3 9.
(1)
(b) Solve the equation
log3(9t)=log9(12t)2+2,t>0.\log_3(9t)=\log_9\left(\frac{12}{t}\right)^2+2, \qquad t>0.
Give your answer in the form ab\displaystyle a^b, where a\displaystyle a and b\displaystyle b are prime numbers.
(6)