3.39: Single lg and quadratic in log_a 4

0606/11/O/N/23 — Question 6 · 8 marks · Log laws, Change of base, Equations

(a)
Write 2+2lgx12lg42 + 2\lg x - \dfrac{1}{2}\lg 4 as a single logarithm to base 1010.
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(b)
Solve the equation 2loga43log4a5=02\log_{a} 4 - 3\log_{4} a - 5 = 0, giving your answers in exact form.
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