1,332 prompts matching "A logarithmic equation written in two different bases"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that command word: Pascal's triangle row sums to a power of 2
I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries
Structured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
Structured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Structured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a
Simplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Rationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Give me a past-paper style question bank for quadratic factorisation
I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi
Give me a past-paper style question bank for the quadratic formula
I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,
Give me a past-paper style question bank for sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
Give me a past-paper style question bank for polynomial operations
I am in SS 3. Give me a bank of four exam-style questions on adding, subtracting and divid
Give me a past-paper style question bank for the factor theorem
I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f
Give me a past-paper style question bank for functions
I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio
Give me a past-paper style question bank for surds
I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising
Give me a past-paper style question bank for logarithms
I am in SS 3. Give me a bank of four exam-style questions on the laws of logarithms, rangi
Give me a past-paper style question bank for sequences and series
I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog
Give me a past-paper style question bank for propositional logic
I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an
Worked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Worked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it