Question

5^x-3=2^3-x ??? )))​

Answer 1

Ответ:

Объяснение:

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Answer 2

To solve the equation 5^x - 3 = 2^(3 - x), we need to find the value of x that makes the equation true.

Let's start by simplifying the equation step by step:

Step 1: Deal with the exponents on each side of the equation. 5^x - 3 = 2^(3 - x)

Step 2: Convert 2^(3 - x) to the equivalent expression in terms of base 5, so we can work with the same base on both sides of the equation.

Since 2 = 5^(log5(2)) approximately equal to 5^(0.43), we can rewrite the equation as follows:

5^x - 3 = 5^(0.43*(3 - x))

Step 3: Now, we have a common base (5) on both sides, so we can equate the exponents:

x = 0.43*(3 - x)

Step 4: Distribute the 0.43 on the right side:

x = 1.29 - 0.43x

Step 5: Move all the x terms to one side:

x + 0.43x = 1.29

Step 6: Combine like terms:

1.43x = 1.29

Step 7: Isolate x by dividing both sides by 1.43:

x = 1.29 / 1.43

Step 8: Finally, calculate the value of x:

x ≈ 0.9021

So, the approximate value of x that satisfies the equation is x ≈ 0.9021.