AAAGH i dont understand ANY of these questions , please someone help, its desperate, thankssssss tonnes
in these questions i will type logs as log16
= log to the base 2 of 16.
3) Given that p= log[q]16
express in terms of p:
a) Given that log x = 2, determine the value of x
b) Calculate the value of y for which 2logy - log(y+4) = 2
c) Calculate the values of z for which logz = 4log[z]3
Solve, giving your answers as exact fractions, the simultaneous equations:
8^y = 4 ^2x+3
logy = logx + 4
Find the values of x for which logx - 2log[x]3 = 1
Solve the equation
log(2-3x) = log(6x^2 - 19x +2)
If xy=64 and log[x]y + log[y]x = 5/2, find x and y.
a) Given that 3 + 2logx = logy, show that y = 8x^2
b) Hence, or otherwise, find the roots alpha and beta, where alpha < beta, of the equation 3 + 2logx = log(14x - 3)
c) Show that logalpha = -2
d) Calculate logbeta, giving your answer to 3 s.f.