Question

(1/5)^3х+4 +(1/5)^3х+5>6 решение плиз

Answer 1

Смотри.......................

Answer 2

To solve the inequality (1/5)^(3x+4) + (1/5)^(3x+5) > 6, we can simplify it step by step. Let's begin:

First, we can notice that both terms on the left side have the same base (1/5), so we can rewrite the inequality as:

(1/5)^(3x+4) + (1/5)^(3x+4) * (1/5) > 6

Now, we can combine the terms on the left side by finding a common denominator:

[(1/5)^(3x+4) + (1/5)^(3x+4)*(1/5)] * (5/5) > 6

[(1/5)^(3x+4) * (1 + 1/5)] * (5/5) > 6

[(1/5)^(3x+4) * (6/5)] * (5/5) > 6

[(1/5)^(3x+4) * 6] > 6

Now, we can simplify the equation further:

(6/5) * (1/5)^(3x+4) > 6

Multiplying both sides by 5:

6 * (1/5)^(3x+4) > 30

Dividing both sides by 6:

(1/5)^(3x+4) > 5

Next, we can rewrite 5 as a fraction with the same base (1/5):

(1/5)^(3x+4) > (5/1)

Now, we have the same base on both sides, so we can compare the exponents:

3x + 4 > 1

Subtracting 4 from both sides:

3x > 1 - 4

3x > -3

Dividing both sides by 3:

x > -1

Therefore, the solution to the inequality (1/5)^(3x+4) + (1/5)^(3x+5) > 6 is x > -1.