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If 4^x+3^x=5^x, then the value of X=?

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If 4^x+3^x=5^x, then the value of  X=? 🍁 To solve for x in the equation 4^x + 3^x = 5^x, we can use logarithms. Taking the logarithm of both sides of the equation with base 10, we get: xlog10(4) + xlog10(3) = x*log10(5) Dividing both sides by x, we get: log10(4) + log10(3) = log10(5) Using a calculator or logarithm tables, we can find that: log10(4) ≈ 0.60206 log10(3) ≈ 0.47712 log10(5) ≈ 0.69897 Substituting these values into the equation, we get: 0.60206 + 0.47712 ≈ 1.07918 ≈ 0.69897 Therefore, x ≈ 1.07918. Is the method of solving correct? This is not correct. Because You can't take the logarithm of numbers added separately. Cross check  4² + 3² = 25 = 5² ➖ 1. Using logarithmic identity method: If 4^x+3^x=5^x, then the value of  X=?........ The equation 4^x + 3^x = 5^x can be solved by taking the natural logarithm of both sides. We have: ln(4^x + 3^x) = ln(5^x) Using the logarithmic identity ln(a^b) = b*ln(a), we can simplify the left-hand side: xln(4) + xln(3) = x*ln...
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Points to remember in Physics - Part 5

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Points to remember in Physics - Part 5 41. Projectile motion does not depend upon mass Projectile motion is the motion of an object that is launched into the air and then moves under the influence of gravity. The path of the object can be described as a parabolic curve.  The motion of a projectile is governed by the laws of physics, including Newton's laws of motion and the law of conservation of energy. According to these laws, the mass of an object does not affect its motion in a vacuum (i.e. in the absence of air resistance). Therefore, the motion of a projectile, such as a ball or a bullet, does not depend on its mass. However, in the presence of air resistance, the motion of a projectile can be affected by its mass. This is because air resistance is a force that opposes motion and is proportional to the surface area and velocity of the object. Therefore, a larger and heavier object would experience more air resistance than a smaller and lighter object, which would affect its m...
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