// Numbas version: exam_results_page_options {"name": "Logarithms Test Part 1", "metadata": {"description": "Log expressions and equations", "licence": "All rights reserved"}, "duration": 1800, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Part 1", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Log Expressions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Kariane Ouellet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4505/"}], "tags": [], "metadata": {"description": "No description", "licence": "All rights reserved"}, "statement": "

Evaluate the following expressions:

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You might enter fractions (a/b)

", "advice": "

No solution available

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a) $10^{\\var{a}+\\lg\\var{b}}=$[[0]]

\n

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b) $\\log_{\\var{c}\\sqrt3}(\\sqrt{\\var{d}})=$[[1]]

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Simplify the following expressions completely using the properties of log.

", "advice": "

No solution

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a) $\\var{p2}\\log_\\var{ab}\\sqrt{\\var{a}}+\\frac{1}{2}\\log_{\\var{ab}}\\var{b2p}$=[[0]]

\n

b) $\\frac{\\log_\\var{base}\\var{arg1}-\\log_\\var{base}{\\frac{1}{\\var{arg2}}}}{\\log_\\var{base}\\var{arg3}+\\log_\\var{base}{\\frac{1}{\\var{arg4}}}}=$[[1]]

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Solve the following logarithmic equation:

\n

$\\log_\\var{b}(\\frac{1}{\\var{denom}}\\var{b}^x+\\var{c})=x$

\n

Instructions: You might enter:

\n", "advice": "

No solution available

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Domain: $x\\in$ ([[0]],[[1]])

\n

Solution: $x=$ [[2]]

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Solve the following logarithmic equation:

\n

$\\log_\\var{b}(\\var{a}\\cdot \\var{b}^x-\\var{c})=x$

\n

Instructions: You might enter:

\n", "advice": "

No solution available

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Domain: $x\\in$ ( [[0]],[[1]])

\n

Solution: $x=$ [[2]]

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If you skip this question, you will not be able to comeback to solve it.

"}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": false, "timeout": {"action": "warn", "message": "

You are out of time!

"}, "timedwarning": {"action": "warn", "message": "

You have 5 minutes left!

"}}, "feedback": {"showactualmark": false, "showtotalmark": true, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "

This is your log test part 1!

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The topics are: evaluating log expressions and basic log equations.

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It will count as academic result, and it's based on your score, not completion. Moreover, to get your score, you have to submit pictures of written solutions on google classroom. Note that I will cross check hand writting to comfirm it was written by you. If you don't submit written solutions, you automatically get 0.

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Don't hesitate to contact me if you have questions throughout.

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Good luck!

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