Since 16 can be expressed as 4^2, we have 4^(x+1) = 4^2, leading to x + 1 = 2, thus x = 1.

(a + b)³ = a³ + 3a²b + 3ab² + b³.

(x + y)² = x² + 2xy + y².

For x > 1, x^2 is always greater than x.

For x < 0, x^2 is always positive and greater than x.

If x < 2, then 3x < 6 is true since 3*2 = 6.

Rearranging gives 5 < x, thus x must be greater than 5.

Vanillin is the primary component of the extract of the vanilla bean and is widely used as a flavoring agent in food.

Doping is the process used to create a p-n junction by adding impurities to a semiconductor.

Uranium-238 is commonly used as fuel in nuclear reactors due to its ability to undergo fission.

The kingdom Plantae includes multicellular organisms that are autotrophic.

The kingdom Plantae includes organisms that are primarily autotrophic, meaning they produce their own food through photosynthesis.

The kingdom Protista includes organisms that can be both autotrophic and heterotrophic.

The kingdom Protista includes both unicellular and multicellular organisms.

The kingdom Protista includes unicellular organisms.

The Kushana Empire was known for its extensive trade routes that connected India to the Mediterranean region.

Fjords are deep, narrow inlets of the sea between high cliffs or steep slopes, formed by glacial activity.

A moraine is a landform created by the accumulation of debris deposited by glaciers.

A delta is formed at the mouth of a river where it meets a body of water, and sediment is deposited.

Neodymium is used in making strong permanent magnets due to its magnetic properties.

The Equator experiences approximately 12 hours of daylight and 12 hours of night throughout the year, showing the least variation.

10°N is the closest latitude to the equator compared to the others.

The Outer Core is the only layer that is liquid, composed mainly of molten iron and nickel.

The Mantle, particularly the asthenosphere, is responsible for the movement of tectonic plates due to convection currents.

The Inner Core is solid due to the immense pressure, despite its high temperature.

The Inner Core is the hottest part of the Earth, with temperatures reaching up to 5,700 degrees Celsius.

The mantle is the thickest layer of the Earth, making up about 84% of Earth's total volume.

The mantle is the thickest layer of the Earth, extending about 2900 km.

Mahatma Gandhi is most closely associated with the concept of 'Swaraj', which means self-rule, during the Indian Freedom Struggle.

A.O. Hume, a retired British civil servant, played a crucial role in the formation of the Indian National Congress in 1885.