solve each equation algebraically: a) 3+7e^2x=24 b) 2^x+5=7^3x+1 c) 3^(2x) - 3^(x) - 20=0 d) log x + log (x-5)=2 ^6 ^6 e) log(x+2)-log(x-1)=1 f) ln(log (x^2 + 2x))=0 ^3 d og, 71 Solve each of the exponenti a tions call the as well as a decimal approximation to the nearest the get the approximated solutions Yo d ac t o a) 3+72-24 d) 3 -3-20 - 0 get the approximated solution a) loe +log.-5) = 2
6. Solve for x log2 (x + 7) + log 2x-3. a) x+7=3 b) 1 c) not possible x d) none of these 7. Evaluate log, a) x b) c) not possible d) none of these 8. What is the solution of -764? a) -2 b) 0 c) 2 d) 10 9. Find the approximate value of the expression log 16 160 a) 0.54 b) 1.83 c) 2.20 d) 0.9 10. Find the value of the expression 2.5 b) 12.2...
A)Find the inverse of the function f(x)=3+{2x-1 B) SOLVE log(x+2)+log 3 (x-2)=2 5. 6. vords e here to search ORI
Question 4 1 pts px² du Jx log(x + u) OO 2x+ 1 log(x2+2) 2 log (22) 2 log(2x) 20+1 log(x2 +2)
Solve the following logarithmic equation; log(2x-1) = log(x+3) + log3
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0) Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0)
Exponential and logarithms 2 log 5 + 1/2 log x = 2 4 : 0.2 e 2x-4 - 10 slog 2 (3x+1) + log 2 (2x - 1) = 3
Q9: Simplify without using a calculator. a) log (64) b) log,(1/3) c) log/2(32) d) log(.00001) Q10: Which statement is true? Make corrections to any of the false statements. a) log (x+y) = log.x+logay b) log.(x/y) = log x/logay c) The statement 39=p is equivalent to q=p. Q11: Use properties of logarithms to expand the expression xVx+3 (x+3) as much as possible. In
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...