Indices, Surds & Logarithms

 

 

Contents

 

Indices

 

Laws of Indices

 

Surds

 

Laws of Surds

 

Exponential Equations

 

Logarithms

 

Laws of Logarithms

 

Logarithmic Equations

 

Quiz

 

Algebra Main Page

Quiz
Indices, Surds & Logarithms
 
 
Given that x = lg a is a solution of the equation
                             102x+1 - 7 (10x) = 26,
    find the value of a.
                                                                      Answer
 
 
Solve the equation
                             log2x - 4 logx16 = 0
                                                                      Answer
 
 
Solve the equation
                            32x+1 - 2 (3x+0.5) - 3 = 0
                                                                      Answer
 
 
Solve the equation
                           (ln x)2 = ln x2
                                                                      Answer
 
 
Solve the equation
                           2 (7x-1) = 5x
                                                                      Answer
 
 
If log2a + log2b = 4, show that log4ab = 2 and that log8ab = 4/3.
                                                                      Answer