3.10: Find p and solve exponential and log equations

0606/12/M/J/21 — Question 5 · 8 marks · Log laws, Exponentials, Equations

(a)
Given that logap+loga5loga4=loga20\log_{a} p + \log_{a} 5 - \log_{a} 4 = \log_{a} 20, find the value of pp.
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(b)
Solve the equation 32x+1+83x3=03^{2x + 1} + 8\cdot 3^{x} - 3 = 0.
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(c)
Solve the equation 4logy2+log2y=44\log_{y} 2 + \log_{2} y = 4.
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