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If (4^x=64), then (x=)?
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Answer and explanation
Correct answer: 3
Since \(64=4^3\), the equation becomes \(4^x=4^3\). With equal positive bases other than 1, their exponents are equal, so \(x=3\). In such questions, rewrite both sides with the same base before comparing exponents.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Since \(64=4^3\), the equation becomes \(4^x=4^3\). With equal positive bases other than 1, their exponents are equal, so \(x=3\). In such questions, rewrite both sides with the same base before comparing exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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