# How do you solve for x

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## How can you solve for x

College algebra students learn How do you solve for x, and manipulate different types of functions. We all know that exponents are a quick way to multiply numbers by themselves, but how do we solve for them? The answer lies in logs. Logs are basically just exponents in reverse, so solving for an exponent is the same as solving for a log. For example, if we want to find out what 2^5 is, we can take the log of both sides of the equation to get: 5 = log2(2^5). Then, we can just solve for 5 to get: 5 = log2(32). Therefore, 2^5 = 32. Logs may seem like a complicated concept, but they can be very useful in solving problems with exponents.

For example, consider the equation x2 + 6x + 9 = 0. To solve this equation by completing the square, we would first add a constant to both sides so that the left side becomes a perfect square: x2 + 6x + 9 + 4 = 4. Next, we would factor the trinomial on the left side to get (x + 3)2 = 4. Finally, we would take the square root of both sides to get x + 3 = ±2, which means that x = -3 ± 2 or x = 1 ± 2. In other words, the solutions to the original equation are x = -1, x = 3, and x = 5.

There are many different ways to solve polynomials, but the most common method is factoring. Factoring polynomials involves breaking them down into factors that can be multiplied to give the original polynomial. For example, if we have the polynomial x^2+5x+6, we can factor it as (x+3)(x+2). To do this, we first identify the two factors that add up to give 5x (in this case, 3 and 2). We then multiply these two factors together to get the original polynomial. In some cases, factoring a polynomial can be difficult or impossible. In these cases, other methods, such as using the quadratic equation, may need to be used. However, with some practice, most people can learn how to factor polynomials relatively easily.

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