Exponentials and Logarithms

a.

Show that the equation $2\log_2 x = \log_2(x + a) + 3$ , can be expressed in the form $x^2 - 8x - 8a = 0$

[3]

b.

Given the equation $2\log_2 x = \log_2(x + a) + 3$ has only one real root find the value of $a$ .

[3]

a.

Show that the equation $2\log_2 x = \log_2(x + a) + 3$ , can be expressed in the form $x^2 - 8x - 8a = 0$

[3]

b.

Given the equation $2\log_2 x = \log_2(x + a) + 3$ has only one real root find the value of $a$ .

[3]

Exponentials and Logarithms Questions