Logarithmic equation. Solve for x

log(x) means in this problem a log of base 3. ie, log(3)=1 sqrt(x) means the square root of x. ie, sqrt(25)=5 Solve the following equation for x: x^[log(9x)]=3sqrt(x)

Solve a radical equation

2 divided by the square root of 3x plus the square root of 3x equals the square root of 3x plus 8

Simplifying mathematical expressions.

If m =/ 0, then (m4)/m4 = a)1 b)m2 c)m4 d)m12 e)m16

Logarithm Expressions

Solve for x: log2x=8 Write as a single logarithm: 5lnx-1n(x+1)

Expanding polynomials

Expand: (w+5)^4

Linear Algebra - Matrix of the Linear Map & Basis of the Linear Space

Let T be a linear map on R^2 defined by T(x,y) = (4x – 2y, 2x + y). Calculate the matrix of T relative to the basis {α1, α2} where α1 = (1,1) , α2 = (-1,0).

Logarithms and exponents

Logarithmic and Exponential Equations. See attached file for full problem description.

Algebra - Circle center, radius, equation

The endpoints of the diameter of a circle are P=(-3,2) and Q=(5,-6) Find: (i) the center of the circle (ii) The radius of the circle (iii) the equation of the circle.

Algebra - method of slopes to determine collinear points

Consider the points: A=(2,5) B=(6,1) C=(8,-1) Use the method of slopes to determine whether the points are collinear (lie on a straight line)

Algebra - find the equation of a line

Find the equation of a line L which passes through the point (1,4) and is perpendicular to the line: 6x + 3y=12.