The Use of Logarithms with GPs (HSC SSCE Mathematics Advanced): Quizzes
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Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
Which method is more efficient for solving exponential equations with large numbers?
Which method is more efficient for solving exponential equations with large numbers?
Logarithms
What is the change-of-base formula for using base 10?
What is the change-of-base formula for using base 10?
How do powers of a base greater than 1 behave as the index increases?
How do powers of a base greater than 1 behave as the index increases?
They increase
Find the smallest integer such that using logarithms.
Find the smallest integer such that using logarithms.
18
What logarithmic law is used when taking logs of both sides of ?
What logarithmic law is used when taking logs of both sides of ?
Widget Company sells 2000 widgets yearly at 300 USD (2011), prices rise 5% yearly. What is ?
Widget Company sells 2000 widgets yearly at 300 USD (2011), prices rise 5% yearly. What is ?
When base is less than 1, questions ask for smallest such that the power is what?
When base is less than 1, questions ask for smallest such that the power is what?
Less than some small number
If for profit to exceed 1200000 USD, in which year does this first occur?
If for profit to exceed 1200000 USD, in which year does this first occur?
23rd year
For a GP with , , what is the sum formula when ?
For a GP with , , what is the sum formula when ?
Gumnut Factory sales decline 6% yearly from 50000 (2016). When do sales fall below 20000?
Gumnut Factory sales decline 6% yearly from 50000 (2016). When do sales fall below 20000?
16th year (2031)