Solve the given logarithmic inequality. Determine the value of the x by writing the set notation and interval notation. Show your solution. (5pts) log3(x) + log3(6) ≥ 2 SN: IN:
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- For Exercise, solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. log2(3x− 1) = log2(x+ 1)+ 3For Exercise, solve the equation or inequality. Write the solution set to the inequalities in interval notation if possible. log2(3x − 4) = log2(x+ 1) + 1For Exercise, solve the equation or inequality. Write the solution set to the inequalities in interval notation if possible. log 3 x+ log 3 (x − 6) = 3
- Solve the inequality. 3 ≤ log2 x ≤ 4ow can I graph the function g(x)=log3(x+1) and give its domain and range using the interval notation. Provide the points, Domain, and range.Solve the following inequality. You can solve it symbolically or graphically. If you solve it symbolically, then show symbolic work. If you solve them graphically, then include a sketch of the graph. logx2<2
- solve the equation or inequality. Write the solution set to the inequalities in interval notation. log 4(2x + 7) = 2 + log 4xRunway Length There is a relation between an airplane's weight x and the runway length L required for takeoff. For some airplanes the minimum runway length L in thousands of feet is given by L(x) - 3 log x, where x is measured in thousands of pounds (a) Evaluate L(lOO) and interpret the result. (b) If the weight of an airplane increases tenfold from 10,000 to 100,000 pounds, does the length of the required runway also increase by a factor of 1 O? Explain.Solve: log(x+2)-log(x+10)= -1. SHOW WORK