Why is log2 5 / log2 3 equal to log3 5, log2 5, the 2 of log2 3 is the corner mark, and the 3 of log3 5 is the corner mark Why is log2 5 / log2 3 equal to log3 5 The 2 of log2 3 is the corner marker, and the 3 of log3 5 is the corner marker

Why is log2 5 / log2 3 equal to log3 5, log2 5, the 2 of log2 3 is the corner mark, and the 3 of log3 5 is the corner mark Why is log2 5 / log2 3 equal to log3 5 The 2 of log2 3 is the corner marker, and the 3 of log3 5 is the corner marker


Bottom changing formula
Original formula = (lg5 / LG2) / (Lg3 / LG2)
=lg5/lg3
=log3(5)



How to transform the image of function y = log4 (1-2x + x ^ 2) to get the image of function y = log / X /
Such as the title
The topic is to get the image of function y = log2 / X / by transformation


Because y = log (4) (1-2x + x ^ 2)
=log(2)[(1-x)^2] /log(2)(4)
=2[log(2)|1-x|] /2
=log(2)|1-x|,
So let's make y = log (2) | 1-x | with respect to the symmetric image of the line x = 1 / 2,
The image of y = log (2) | x | can be obtained



Can 3 ^ 2002-3 ^ 2001-3 ^ 2000 be divided by 5? Please explain why


3^2000(3^2-3-1)
=3^2000(9-3-1)
=5*3^2000
So you can



After the Indian Ocean tsunami in 2004, the number of tourists to Southeast Asia in China decreased sharply. Hotels in Sanya, Hainan Province, believed that a large number of these tourists would turn to Sanya, a seaside resort with beautiful scenery, so they raised their hotel prices to make a big profit. During the May Day Golden week in 2005, many scenic spots in China raised their ticket prices one after another, However, in the above examples, these areas have found that the number of tourists has been greatly reduced after the rise of prices, and their wishful thinking has failed
(1) What are the effects of price changes on consumer demand?
(2) Please use the knowledge of economic life reflected in (1) to analyze why these areas are so disappointed?


Under the condition of constant supply, the impact on high-grade durable goods (Tourism): rising prices will reduce people's demand for tourism
2. Value determines price. If the price is only increased but the environment and service of the scenic spot are not improved, the value will not change, and tourists will choose to visit other places because the price is too high,



A two digit one digit number is 1 larger than a ten digit number. If you transpose a single digit number and a ten digit number, then the product of the number and the original number is 405 more than the square of the original number. What is the two digit number? Before 9 o'clock


Let the digit be a, then the tenth digit be A-1. According to the product of the obtained number and the original number more than the square of the original number, 405 series equations (10a + (A-1)) x (a + 10 (A-1)) - (a + 10 (A-1)) x (a + 10 (A-1)) = 405 (11a-1) x (11a-10) - (11a-10) (11a-10) = 405 (11a-10) (11a-1-11a + 10) = 405 (11a-10) x9 = 40599a



(-13)×2/3-0.34×2/7+1/3×(-13)-5/7×0.34


(-13)×2/3-0.34×2/7+1/3×(-13)-5/7×0.34
=(-13)×(2/3+1/3)-0.34×(2/7+5/7)
=(-13)×1-0.34×1
=-13-0.34
=-13.34



As shown in the figure, there is a point E on the BC side of the square ABCD, and the bisector of ∠ DAE intersects CD at F. the idea of rotation is used to explain AE = DF + be


As shown in the figure on the right, rotate △ ADF clockwise 90 ° to get △ Abf ′; then ∠ 3 = ∠ 1, ∠ AFD = ∠ f ′, f ′ B = FD, (3 points) ∫ f ′ AE = ∠ 3 + ∠ BAE, and ∫ quadrilateral ABCD is a square, ∫ ab ‖ CD, ∫ AFD = ∠ fab, (4 points) ∫ Fab = ∠ 2 + ∠ BAE, ∫ AFD = ∠ 2 + ∠ BAE



Number reasoning: 3,2,5,12,41, () 2,1,3,7,24, () 10,9,17,50, () 4,18,60140, ()
Question 1: 12, 41, ()
Question 2: 24, ()
Question 3: 10, 17, 50, ()
Question 4: 18, 60140, ()


First question: 3,2,5,12,41, (176) 2 * 1 + 3 = 55 * 2 + 2 = 1212 * 3 + 5 = 4141 * 4 + 12 = 176 second question: 2,1,3,7,24, (103) 1 * 1 + 2 = 33 * 2 + 1 = 77 * 3 + 3 = 2424 * 4 + 7 = 103 third question: 10,9,17,50, (199) 10 * 1-1 = 99 * 2-1 = 1717 * 3-1 = 5050 * 4-1 = 199



There are 10 blank questions, 5 multiple-choice questions, 5 judgments and 1 question and answer questions about old stories in the south of the city





It is known that the area of parallelogram ABCD is 200 square centimeters, e and F are the end points of AB and BC respectively. What is the area of triangle def?


I think so
Triangle DBE is 1 / 4 of parallelogram, that is 50 square centimeter
The triangle DBC is also 50 square centimeters,
Triangle bef is 1 / 4 of triangle ABC, that is 200 / 2 / 4 = 25 square centimeter
So the area of triangle def = quadrilateral dfbe triangle bef = 50 + 50-25 = 75 square centimeter