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Evaluate the expression without using a calculator.  log41{“version”:”1.1″,”math”:”log41″}

Find the standard form of the equation of the hyperbola satisfying the given conditions.  Endpoints of transverse axis: (0,-8), (0,8); asymptote: y = 43x{“version”:”1.1″,”math”:”y = 43x”}

Write the equation in its equivalent logarithmic form.  b3=2744{“version”:”1.1″,”math”:”b3=2744″}

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places.  log1263.2{“version”:”1.1″,”math”:”log1263.2″}

Write the equation in its equivalent exponential form.  logb64=3{“version”:”1.1″,”math”:”logb64=3″}

Use the center, vertices, and asymptotes to graph the hyperbola.  (y+2)29-(x-1)216=1{“version”:”1.1″,”math”:”(y+2)29-(x-1)216=1″}

Evaluate the piecewise function at the given value of the independent variable.  h(x) =x2-7x+6if x ≠-6x -2if x =-6; h (-6){“version”:”1.1″,”math”:”h(x) =x2-7x+6if x ≠-6x -2if x =-6; h (-6)”}

Evaluate the expression without using a calculator.  log214{“version”:”1.1″,”math”:”log214″}

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.  3x+54-2x≥0{“version”:”1.1″,”math”:”3x+54-2x≥0″}

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.  log2(x+4) – log2(x-2) =2{“version”:”1.1″,”math”:”log2(x+4) - log2(x-2) =2″}