In the rectangular coordinate system, there is a point column P1 (A1, B1). PN (an, BN). For every positive integer n, the point PN is on the image of function y = log3 (2x), The point PN, the point (n-1,0) and the point (n, 0) form an isosceles triangle with PN as the vertex. The expression of the ordinate BN of the point PN is obtained

In the rectangular coordinate system, there is a point column P1 (A1, B1). PN (an, BN). For every positive integer n, the point PN is on the image of function y = log3 (2x), The point PN, the point (n-1,0) and the point (n, 0) form an isosceles triangle with PN as the vertex. The expression of the ordinate BN of the point PN is obtained

Let PN (3 ^ BN / 2, BN). Then calculate it directly according to the condition. We get (3 ^ BN / 2-N + 1) ^ 2 = (3 ^ BN / 2-N) ^ 2. We will discuss it here. When n = 1, it is obviously not true. The intersection of x = 1 / 2 line and y = log3 (2x) is on the X axis. Therefore, BN ≥ 1. When n > 1, there is 3 ^ BN / 2-N + 1 = n-3 ^ BN / 2, so we have bn = log3 (2

Given the points P1 (A1, B1), P2 (A2, B2). PN (an, BN) are all on the function y = Log1 / 2x
1. If the sequence {BN} is an arithmetic sequence, prove that {an} is an arithmetic sequence

BN = log [(1 / 2) * an] n = 1,2,3. An ratio a (n + 1) / an = q, q is a constant not 0, B (n + 1) = log [(1 / 2) * a (n + 1)] = log [(1 / 2) * Q * an] B (n + 1) - BN = log [(1 / 2) * Q * an] - log [(1 / 2) * an] = log {[(1 / 2) * Q * an] / [(1 / 2) * an} = Q when n = 1, B1 = log [(1 / 2) * A1

When a metal block is immersed in the liquid with the density of P1 for weighing, the indication of the spring dynamometer is G1. When the metal block is immersed in the liquid with the density of P2 for weighing, the indication of the spring dynamometer is G2, then the density of the metal block is?

G1=p*v*g-p1*v*g
G2=p*v*g-p2*v*g
Where p is the density of metal, V is the volume of metal, and G is the acceleration of gravity

How to solve 2 (3x + 15) = 2x76 equation
It's not two times 76. It's two times 76

What is a 2x76? Is it a 2x76 or a 2x76?
ok：）
I feel like this?
Divide both sides by two
3x+15=76x
73x=15
x=15/73
My friend, he miscalculated. He forgot that there was an X on the right:) fainting!
How did you learn mathematics? I didn't adopt the correct answer, but I also adopted a wrong one! His algorithm is the result of 2 times 75, didn't I ask?

Solving 10x = 3x Λ 2 + 8 by factorization

10x=3x²+8
3x²-10x+8=0
(3x-4)(x-2)=0
x1=4/3,x2=2

3x is equal to 3.6

The value of 3x & # 178; - 6 is 21

3x²-6=21
3x²=27
x²=9
x=3 x=-3

How to solve the equation (1 / 4-3x) * 2x = 1 / 3?

(1/4-3x)×2x=1/3
1/2 x -6x=1/3
-11/2 x=1/3
x=-1/3 × 2/11
x=-2/33

To solve the equation 30% x + 35% & nbsp; χ = 130 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; x-20% x = 40 12 (2 + 3x) = 42 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & 25:25 = 15: X

（1）30%x+35%x=130，         0.65x=130，   0.65x÷0.65=130÷0.65，             x=200；（2）x-20%x=40，       0.8x=40，  0.8x÷0.8=40÷0.8，           x=50；（3）12（2+3x）=42， 12（2+3x）÷12=42÷12，           2+3x=3.5，         2+3x-2=3.5-2，             3x=1.5，          3x÷3=1.5÷3，              x=0.5；（4）25：25=15：X，       25X=15×25，       25X=6，    25X÷25=6÷25，         X=15．

X-2 / 3x = 42.5

1/3x=42.5
x=127.5