the sum and/or difference of logarithms, Mathematics homework help

I need help to answer this q in precalculusQuestion 1 (4 points) Write as the sum and/or difference of logarithms. Express powers as factors.log4Question 1 options:A) log4x - 2B) - 2log4xC) 8 -  log4xD) log4x - 2SaveQuestion 2 (4 points) Solve the equation.log5(x + 1) = 1 + log5(x - 1)Question 2 options:A) B) C) D) SaveQuestion 3 (4 points) Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.log2150.6Question 3 options:A) 3.617B) 0.301C) 7.235D) 0.138SaveQuestion 4 (4 points) Change the logarithmic expression to an equivalent expression involving an exponent.ln x = 6Question 4 options:A) 6e = xB) x6 = eC) ex = 6D) e6 = xSaveQuestion 5 (4 points) Find the exact value of the logarithmic expression.ln e7Question 5 options:A) eB) C) 1D) 7SaveQuestion 6 (4 points) Solve the equation.log2x = 5Question 6 options:A) {10}B) {2.32}C) {25}D) {32}SaveQuestion 7 (4 points) Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.log60.771Question 7 options:A) -0.113B) 7.782C) -0.145D) -6.890SaveQuestion 8 (4 points) Solve the equation.log6(x + 3) = 3Question 8 options:A) {219}B) {213}C) {732}D) {726}SaveQuestion 9 (4 points) Solve the problem.pH = -log10[H+] Find the [H+] if the pH = 6.4.Question 9 options:A) 3.98 × 10-6B) 2.51 × 10-7C) 3.98 × 10-7D) 2.51 × 10-6SaveQuestion 10 (4 points) Find the exact value of the logarithmic expression.log4Question 10 options:A) -3B) 3C) D) - SaveQuestion 11 (4 points) Change the logarithmic expression to an equivalent expression involving an exponent.logb25 = 2Question 11 options:A) 2b = 25B) 252 = bC) 25b = 2D) b2 = 25SaveQuestion 12 (4 points) Solve the equation.e2x = 7Question 12 options:A) {2 ln 7}B) C) D) SaveQuestion 13 (4 points) Change the exponential expression to an equivalent expression involving a logarithm.73 = 343Question 13 options:A) log7343 = 3B) log3343 = 7C) log3437 = 3D) log73 = 343SaveQuestion 14 (4 points) Solve the equation.log6(x + 2) = -1Question 14 options:A) B) C) D) SaveQuestion 15 (4 points) Find the exact value of the logarithmic expression.log9Question 15 options:A) B) 1C) 9D) SaveQuestion 16 (4 points) Solve the problem.The pH of a chemical solution is given by the formula pH = -log10[H+] where [H+] is the concentration of hydrogen ions in moles per liter. Find the pH if the [H+] = 5.2 × 10-4.Question 16 options:A) 4.72B) 3.72C) 4.28D) 3.28SaveQuestion 17 (4 points) Express as a single logarithm.6logbq - logbrQuestion 17 options:A) logbB) logb(q6 - r) C) logbq6 ÷ logbr D) logbSaveQuestion 18 (4 points) Change the exponential expression to an equivalent expression involving a logarithm.10x = 1000Question 18 options:A) log100010 = xB) logx1000 = 10C) log101000 = xD) log1000x = 10SaveQuestion 19 (4 points) Write as the sum and/or difference of logarithms. Express powers as factors.log5Question 19 options:A) log514 +  log5x - log5y B) log514 ∙  log5m ÷ log5y C) log5y - log514 -  log5x D) log5(14) - log5ySaveQuestion 20 (4 points) Solve the equation.3(1 + 2x) = 243Question 20 options:A) {2}B) {81}C) {6}D) {-2}Save