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Exponents and Logarithms (সূচক এবং লগারিদম)

Exponents and Logarithms Quiz enhances your knowledge and skills in Exponents and Logarithm problems. You will have 10 minutes to complete the quiz and if you do not answer any question within the specified time, it will be considered incorrect. You need to get a minimum of 50% marks to pass the quiz. Press the "Start Quiz" button to participate in the quiz.

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If an is an exponential expression, which is not true for n?

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According to exponent rules, when we multiply the expressions, we _______ the exponents.

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If a ϵ R and m, n ϵ N, then am × an =?

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22 × 23 =?

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According to exponent rules, when we divide the expressions, we _______ the exponents.

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If a ϵ R and m, n ϵ N, then am/an =?

7 / 35

85/83 =?

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If a, b ϵ R and n ϵ N, then (ab)n=?

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(7 × 4)2 =?

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If a, b ϵ R and n ϵ N, then (a/b) n=?

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(8/5)2 =?

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If a ϵ R and m, n ϵ N, then (am)n =?

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(23)2 =?

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a0 =?

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a-n =?

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5-2 =?

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Which of the following is the standard form of 0.00001275?

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Solve the equation: 22x + 1 = 128.

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Solve the equation: 2x + 21 - x = 3.

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If a, m and n are positive integers and a ≠ 1, then loga(mn) =

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If a, m and n are positive integers and a ≠ 1, then loga(m/n) =?

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If a and m are positive numbers, a ≠ 1 and r is a real number, then logamr =?

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If m, n and p are positive numbers and n ≠ 1, p ≠ 1, then; Lognm =?

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If m and n are the positive numbers other than 1, then lognm =?

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eln n =?

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Find the value of log10100.

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Find the value of log3(1/9).

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Find the value of log√381.

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What is the log of 5√5 to the base of 5?

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If the log of 400 is 4, then what is the base of the log?

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The logarithms having a base '10' are called -

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The relation x = logan implies

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Solve the equation: logx324 = 4.

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If logxy = 100 and log2x = 10, then the value of y is:

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log101 =?

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