# Algebra-Functions

### Exponential

solution

solution Show that

solution Find the sum of the infinite series

solution Find the sum of the infinite series

### Logarithmic

solution If a not equal to 1,m,n are positive real numbers, then show that

solution If a not equal to 1 and m,n are positive real numbers, then

solution If a not equal to 1 and m,k are positive real numbers, then

solution Rule of change of base,if a and b not equal to 1 and m is a positive real number, then

solution Find the value of

solution Find the value of

solution Simplify

solution Express as a single logarithm.

solution Find the value of

solution Find the value of

solution Find the value of

solution Find the value of x if

solution Find the value of x if

solution Find the value of x if

solution Find the value of x if

solution Find the value of x if

solution Find the value of x if

solution Find the value of x if

solution Solve

solution If Then find and

solution Simplify

solution If then show that a,b,c are in Harmonic Progression.

solution If then find the value of P.

solution Find the least positive value of x such that

solution If then show that ab+bc+ca=abc.

solution If then show that

solution Find the value of x when

solution Solve

solution Solve

solution Solve

solution Solve

solution Find x if

solution Find the value of

solution If Find the value of x

solution What is the value of

solution If then find the value of 1/x-1/y

solution Find the value of

solution Find the value of

solution Show that

solution If ,then find the value of x.

solution If then show that

solution Find the value of

solution Find the value of

solution If Show that

solution If then show that

solution Find the value of

solution Solve

solution If prove that

solution Find the value of

solution If then find the value of x.