Evaluate the logarithm. (5 points) ln e3

Find the exact solution to the equation. (5 points) 10-log4(x+6) = 9

Compute φVn for the cross section shown. Assume f’c = 5,500 psi, fyt = 60,000 psi, b1 = 26 in., b2 = 10 in., d = 22 in., h1 = 4 in., h2 = 14 in., h3 = 9 in., t = 6 in., and that there are six No. 6 longitudinal tension bars and No. 4 stirrups at 12 in. o.c.

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points) f(x) = x2 – 3 and g(x) =

The strength-reduction factor, φ, for shear and torsion is _____.

Find the inverse of the function. f(x) = x3 + 5 (5 points)  

Use the arc length formula and the given information to find r. s = 12 cm, θ = 36°; r = ? (5 points)  

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers. (5 points) 6log x + 4log y

Evaluate the logarithm. (5 points)

Use the graph of f to estimate the local maximum and local minimum. (5 points)