Logarithms and Indices

If we have a number of the form bⁿ the b is called the .. and the n is the …

Base. Power

What is an exponential function?

f(x) = a^x

How to solve equations in a^x = a^y format

x=y Bases must be the same

Two rules of indices not in logtables

√a√b = √ab. √a /√b = √a/b

Rationalise the denominator meaning?

Make the denominator an integer without changing the value

How to rationalise the denominator?

Multiply the fraction by another with the surd as the denominator and numerator e.g. √5 / √5

When needing to rationalise a denominator with a surd and constant what do you do?

Same as usual, just change the sign of the non-surd

What is 1 as a log?

log_bb