Rearrange to make d (distance) the subject:
M = m − 5 log d + 5
M= m-5log d +5
5log d=m- M+5
log d= (m-M+5)/5
assuming base of log is e
d= e(m-M+5)/5
here d as a subject.
as 6. Rearrange the following. Remember to write pm() a. Make L the subject of f = 2xVLC b. Make M the subject of T = M-m 1+Mm c. Make h the subject of A = arvr2 + h2 d. Make R the subject of V = m (3R2 + h?) 7. Solve the following: a. Solve x + 2 + 2x = 4. Give the smaller value. b. Give the larger value to part 7.a. c. Solve x +...
Fill in the missing values to make the equations true. 8 (a) log, 8 - log, 5 = 1025 8 (b) log, 9 + log, I - log, 99 X 5 ? (c) 2logg 2 log, 0]
5. Which of the five carbocations shown below is the most stable (will not rearrange) and which one(s) will undergo carbocation rearrangement? Indicate the correct structures of the products of each of the carbocation rearrangements. To practice for the exam: Where applicable, use the curved arrow(s) to clearly draw the mechanism of the carbocation rearrangement. CD A. carbocation C is most stable and will not rearrange, and the products of rearrangements are go on Jor a from A from B...
5. Which of the five carbocations shown below is the most stable (will not rearrange) and which one(s) will undergo carbocation rearrangement? Indicate the correct structures of the products of each of the carbocation rearrangements. To practice for the exam: Where applicable, use the curved arrow(s) to clearly draw the mechanism of the carbocation rearrangement. å se do ško dos A. carbocation C is most stable and will not rearrange, and the products of rearrangements are from A from B...
5. Express as a single logarithm 5 log, 3 a) log, t b) log; rs c) log, VF d) log with 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
b)(8 + 3M)2 = N make 'M' the subject of the equation (4 marks)
Basic properties of logarithms Fill in the missing values to make the equations true. (a) log, 7 - log, 5 = log in . x 6 ? (b) log, ] + log, 7 = log, 28 (C) log, 16 = 10g, 2
Rearrange this equation to isolate C. a = b (1_1) (c-d)
Basic properties of logarithms Fill in the missing values to make the equations true. (a) log: 3 – log; 8 = log:D x 6 ? (b) log 5 + log, I = log, 10 (c) – 4 10gg 3 = log,