Logarithm Worksheet



Name:____________________Logarithms ReviewYou should NOT be using a calculator to complete these problems!Express the equation in exponential form.1. log5 25 = 22. log8 2 = 1/3Express the equation in logarithmic form.3. 53 = 1254. 8-1 = 1/8 Evaluate the expression.5. (a) log6 36(b) log9 81 (c) ln e196. (a) log3 (1/27) (8b) log √10 (c) log5 15Name:____________________Logarithms ReviewYou should NOT be using a calculator to complete these problems!Express the equation in exponential form.1. log5 25 = 22. log8 2 = 1/3Express the equation in logarithmic form.3. 53 = 1254. 8-1 = 1/8 Evaluate the expression.5. (a) log6 36(b) log9 81 (c) ln e196. (a) log3 (1/27) (8b) log √10 (c) log5 15Find the domain of the function.7. f(x) = log10(x + 3)8. f(x) = log5(8 – 2x) What type of transformation maps y = log8x onto the given equations:9. f(x) = log8(x – 2) – 410. f(x) = -log8x + 4Expand the logarithm using the three “Laws” of logarithms11. log2 (AB2) 12. log34xy2Use the Laws of Logarithms to combine the expression as a single logarithms13. log 12 + ? log 7 – log 2 14. log5(x2-1) – log5(x-1)Find the domain of the function.7. f(x) = log10(x + 3)8. f(x) = log5(8 – 2x) What type of transformation maps y = log8x onto the given equations:9. f(x) = log8(x – 2) – 410. f(x) = -log8x + 4Expand the logarithm using the three “Laws” of logarithms11. log2 (AB2) 12. log34xy2Use the Laws of Logarithms to combine the expression as a single logarithms13. log 12 + ? log 7 – log 2 14. log5(x2-1) – log5(x-1) ................
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