AQA A Level Mathematics 3.7 F ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Exponentials and logarithms exam ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
with correct answers ||\\||\\ ||\\||\\
a = b**X in log form - correct answers ✔✔Log base b (a)=
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
x
What is the log of a negative number or zero - correct
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
answers ✔✔A non real number ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Log notation - correct answers ✔✔Log base 10 (x) written
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
as log x ||\\||\\ ||\\||\\
Log base e (x) written as ln x ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
What does taking a log of something do - correct answers
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
✔✔Reverses the process of raising it to an exponent ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
, Logarithm relationships - correct answers ✔✔Log base a ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
(a**x) = x ||\\||\\ ||\\||\\
a**log base a(x) = x ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Let a = e ||\\||\\ ||\\||\\ ||\\||\\
ln e**x = x
||\\||\\ ||\\||\\ ||\\||\\
e**ln x = x ||\\||\\ ||\\||\\ ||\\||\\
Laws of logqrithms - correct answers ✔✔Log base a (xy) =
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
log base a (x) + log base a (y)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
log base a (x/y) = log base a (x) - log base a (y)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
log base a (x**k) = k * log base a (x)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Exponentials and logarithms exam ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
with correct answers ||\\||\\ ||\\||\\
a = b**X in log form - correct answers ✔✔Log base b (a)=
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
x
What is the log of a negative number or zero - correct
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
answers ✔✔A non real number ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Log notation - correct answers ✔✔Log base 10 (x) written
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
as log x ||\\||\\ ||\\||\\
Log base e (x) written as ln x ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
What does taking a log of something do - correct answers
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
✔✔Reverses the process of raising it to an exponent ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
, Logarithm relationships - correct answers ✔✔Log base a ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
(a**x) = x ||\\||\\ ||\\||\\
a**log base a(x) = x ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Let a = e ||\\||\\ ||\\||\\ ||\\||\\
ln e**x = x
||\\||\\ ||\\||\\ ||\\||\\
e**ln x = x ||\\||\\ ||\\||\\ ||\\||\\
Laws of logqrithms - correct answers ✔✔Log base a (xy) =
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
log base a (x) + log base a (y)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
log base a (x/y) = log base a (x) - log base a (y)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
log base a (x**k) = k * log base a (x)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
