Algebra II Honors Test – Logarithms



Teacher – Mrs.Volynskaya PreCalculus Logarithms NAME_______________________

PLEASE BOX YOUR ANSWERS!

1. Find the solution to the equation ln (x2 + 3x ) ( ln 10 = 0 . ____________________________ ________________________________

2. Find the solution to the equation [pic]. _____________________________ _________________________________

3. Solve for x [pic]. ______________________________ ________________________________

4. Solve for x log 2 (x + 7) + log 2 x = 3 _____________________________ _________________________________

5. Evaluate [pic]. _______________________________ ________________________________

6. Solve: [pic] ? _______________________________

7. Evaluate eln2.5 . ________________________________

8.Express in terms of log10a and log10b.

a. log10a3[pic] _______________ b. [pic] ________________________

9. Express as a logarithm of a single number or expression.

a. 5log4x – [pic]log4y _______________ b. log6m + [pic]log6n _________________________

Solve.

10. [pic]log8x = log827 _______ 11. log5m = [pic]log5125________________

12. log9(3y + 14) – log95 = log92y ________ 13. 3log5x – log54 = log516____________

14. log10y = [pic]log1016 + [pic]log1049 _________ 15. log10a + log10(a + 21) = 2 __________

16. log2(2x + 8) – log2(2x2 + 21x + 61) = –3 ______ 17. log5(x + 4) = 0 ________________

18. log2x2 – log2(x + 3) = 2 _______ 19. [pic]log8(x +10) = 1 _______________

10.

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