If (4^{x+1}-4^{x}=192), what is the value of (x)?

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Answer and explanation

Correct answer: (3)

Here (4^{x+1}-4^{x}=4\cdot4^{x}-4^{x}=3\cdot4^{x}=192), so (4^{x}=64). Since (64=4^{3}), (x=3).

What is the correct answer to this question?

(3)

Why is this the correct answer?

Here (4^{x+1}-4^{x}=4\cdot4^{x}-4^{x}=3\cdot4^{x}=192), so (4^{x}=64). Since (64=4^{3}), (x=3).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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