Search by Topic

Resources tagged with Logarithmic functions similar to Population Dynamics - Part 4:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 15 results

Broad Topics > Sequences, Functions and Graphs > Logarithmic functions

problem icon

Mixing Ph

Stage: 5 Challenge Level: Challenge Level:1

Use the logarithm to work out these pH values

problem icon

Blood Buffers

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate the mathematics behind blood buffers and derive the form of a titration curve.

problem icon

Extreme Dissociation

Stage: 5 Challenge Level: Challenge Level:1

In this question we push the pH formula to its theoretical limits.

problem icon

Ph Temperature

Stage: 5 Challenge Level: Challenge Level:1

At what temperature is the pH of water exactly 7?

problem icon

Drug Stabiliser

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How does the half-life of a drug affect the build up of medication in the body over time?

problem icon

What Do Functions Do for Tiny X?

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Looking at small values of functions. Motivating the existence of the Taylor expansion.

problem icon

Equation Attack

Stage: 5 Challenge Level: Challenge Level:1

The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

problem icon

Harmonically

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

problem icon

Weekly Challenge 44: Prime Counter

Stage: 5 Challenge Level: Challenge Level:1

A weekly challenge concerning prime numbers.

problem icon

Sierpinski Triangle

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

What is the total area of the triangles remaining in the nth stage of constructing a Sierpinski Triangle? Work out the dimension of this fractal.

problem icon

Complex Sine

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Solve the equation sin z = 2 for complex z. You only need the formula you are given for sin z in terms of the exponential function, and to solve a quadratic equation and use the logarithmic function.

problem icon

Power Match

Stage: 5 Challenge Level: Challenge Level:1

Can you locate these values on this interactive logarithmic scale?

problem icon

How Does Your Function Grow?

Stage: 5 Challenge Level: Challenge Level:1

Compares the size of functions f(n) for large values of n.

problem icon

Log Attack

Stage: 5 Challenge Level: Challenge Level:1

Solve these equations.

problem icon

Big, Bigger, Biggest

Stage: 5 Challenge Level: Challenge Level:1

Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Copyright © 1997 - 2012. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.