3.31: Logarithmic and substituted cubic equations

0606/21/M/J/22 — Question 1 · 5 marks

(a)
Solve the equation 5w1=125^{w - 1} = 12, giving your answer correct to 2 decimal places.
[2]
(b)
Solve the equation x2/35x1/3+6=0x^{2/3} - 5x^{1/3} + 6 = 0.
[3]