Practice with Properties of Logarithms
Practice with Properties of Logarithms
For #1 – 7, use properties of logarithms to solve each equation.
1) log 4t + log t = log 36 2) log t + log (t – 4) = log 12
3) log 12k – log 4 = log 15 4) log 8y2 – log 2y = log 8
5) 2 log y = log 4 + log (y + 8) 6) 2 log (2y + 2) = log 16 + 2 log (y – 2)
7) [pic]log (c + 1) + [pic]log (c – 4) = log 6 8) If log 2 = 0.3010 and log 5 = 0.6990, what is log 20? (Use the values of log 2 and log 5 to determine the answer.)
8) Prove:
log (x2 – y2) – log (x + y)2 = log (x – y) – log (x + y)
9) Prove:
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