Resources tagged with Logarithmic functions similar to Clear as Crystal:
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Calculating with ratio & proportion. Logarithmic functions. STEM - physical world. Physics. Engineering. Maths Supporting SET. Biology. Investigations. Chemistry. Algebra - generally.There are 15 results
Broad Topics > Functions and Graphs > Logarithmic functions
Extreme Dissociation
Age 16 to 18 Challenge Level:
In this question we push the pH formula to its theoretical limits.
Blood Buffers
Age 16 to 18 Challenge Level:
Investigate the mathematics behind blood buffers and derive the form of a titration curve.
Drug Stabiliser
Age 16 to 18 Challenge Level:
How does the half-life of a drug affect the build up of medication in the body over time?
What Do Functions Do for Tiny X?
Age 16 to 18 Challenge Level:
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Harmonically
Age 16 to 18 Challenge Level:
Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
Weekly Challenge 44: Prime Counter
Age 16 to 18 Challenge Level:
A weekly challenge concerning prime numbers.
Sierpinski Triangle
Age 16 to 18 Challenge Level:
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.
Equation Attack
Age 16 to 18 Challenge Level:
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.
Complex Sine
Age 16 to 18 Challenge Level:
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.
How Does Your Function Grow?
Age 16 to 18 Challenge Level:
Compares the size of functions f(n) for large values of n.
Power Match
Age 16 to 18 Challenge Level:
Can you locate these values on this interactive logarithmic scale?
Big, Bigger, Biggest
Age 16 to 18 Challenge Level:
Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?
NRICH is part of the family of activities in the Millennium Mathematics Project.