Math Quiz

6 Determine the point(s) of intersection of the graphs of y = log₂ (2x) and y = log₄ x.

The graph of the function y = ax passes through the points (2, 1) and (32, 4). Calculate the value of r.

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Given that 2ª+³ + 2ª = 3y+2 — 39 and x and y are integers, determine the values of x and y.

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Given that f(x) = 24-2, calculate, in simplest form, f(x) · ƒ(1 x).

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Find all values of x such that log5 (x − 2) + log5 (x − 6) = 2.-

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Let x be a positive real number with x 1. Prove that a, b, and c are three numbers that form a geometric sequence if and only if log a, logb and log, c form an arithmetic sequence.

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Determine all real values of x for which 3x+2 +2x+2 + 2x = 2x+5 + 3x (log10 ) log10 (log10 ) = 10000x).

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Determine all real numbers x > 0 for which log4 x - log 16 - 7 6 - log 8 □ 100% te ●●●

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