9 Solve the simultaneous equations: Inx + Iny = 8 In z? + Iny = 6Given that 4 log, z - log, 9 = 2, express b in terms of z. Given that logs y = 8, find the value of logs (125y). If y = Inx - In(x + 2) + In(4 - x?), express a in terms of y. Solve, correct to 3 s.f., 32z _ 3 +1 - 10 = 0. Solve the equation log(x2 + 1) = 1 + 2logz. Solve the equation 32z+1 = 5200 giving your answer to three s.f. 16 a Given that log, a = p and log, y = q express the following in terms of p and q. i loga (ry) ii log. b i Express log10(x2 - 10) - log . as a single logarithm. ii Hence solve the equation log,.(x2 - 10) - log,, = 2log10 3. 17 Find the exact value of a satisfying the equation 23x-2 x 32x-3 = 36"-1 giving your answer in simplified form In p In q - where p, q e Z. 18 Solve the equation 5 x 47-1 = 1 72 giving your answer in the form = = In P where p and q are In q rational numbers. 19 Find the exact solutions to e" te " = 4. 20 Find the value of a for which (log, z) = log, 23 - 2