Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as as possible.log9 972 – log9 4 – log9 3

Use the factor theorem to determine if the given binomial is a factor of f (x). f (x) = 2×3 + x2 – 14x – 9; x – 1

Solve the exponential equation. Write the solution set with the exact values given in terms of natural or common logarithms. Also give approximate solutions to 4 decimal places, if necessary.e2x + 3ex – 54 = 0 ; use natural logarithms

Solve the exponential equation. Write the solution set with the exact values given in terms of natural or common logarithms. Also give approximate solutions to 4 decimal places, if necessary.e2x + 2ex – 63 = 0 ; use natural logarithms

Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4 decimal places if necessary.ln x + ln(x + 10) = ln(8x + 48)

Use the factor theorem to determine if the given binomial is a factor of f (x). f (x) = 2×3 + x2 – 8x – 3; x – 2

Solve the exponential equation.32x – 7 = 43x – 1

Identify the horizontal asymptote (if any). If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the horizontal asymptote.f (x) =

Solve the exponential equation. Write the solution set with the exact values given in terms of natural or common logarithms. Also give approximate solutions to 4 decimal places, if necessary.e2x + 3ex – 10 = 0 ; use natural logarithms

Solve the exponential equation.32x + 3 = 43x + 1