Question

2^4х-5=8 3^7/8•9^3/8 1/10 х^2= 8.1

Answer 1

Решение в приложении

Answer 2

It looks like you've provided a set of equations involving variables and exponents. Let's solve them step by step:

1. Equation 1: 2^(4x - 5) = 8

To solve for x, we need to rewrite both sides of the equation in terms of a common base:

2^(4x - 5) = 2^3

Since the bases are the same, the exponents must be equal:

4x - 5 = 3

Now, solve for x:

4x = 3 + 5 4x = 8 x = 8 / 4 x = 2

2. Equation 2: (3^7 / 8) * (9^3 / 8) * (1 / 10) * x^2 = 8.1

First, simplify the exponents and the fractions:

(3^(7/8)) * (9^(3/8)) * (1 / 10) * x^2 = 8.1

Now, evaluate the exponential terms:

3^(7/8) ≈ 2.183 9^(3/8) ≈ 2.080

Substitute these values back into the equation:

(2.183) * (2.080) * (1 / 10) * x^2 = 8.1

Now, solve for x^2:

(2.183) * (2.080) * (0.1) * x^2 = 8.1

x^2 ≈ 18.451

Take the square root of both sides:

x ≈ ±4.292

So, x is approximately 4.292 or -4.292.

Please double-check the equations to ensure there are no typos or errors in the original equations.