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Questions and Answers
What is the condition on 'a' for y = loga x to be defined?
What is the condition on 'a' for y = loga x to be defined?
What is the value of x in the equation 2^(2x) = 32^(5/4)?
What is the value of x in the equation 2^(2x) = 32^(5/4)?
Which of the following properties of logarithms is true?
Which of the following properties of logarithms is true?
What is the value of loga (mn) if m and n are arbitrary positive numbers?
What is the value of loga (mn) if m and n are arbitrary positive numbers?
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What can be said about the number log2 7?
What can be said about the number log2 7?
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What is the logarithm of a given number to a given base?
What is the logarithm of a given number to a given base?
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What is the range of the logarithmic function f(x) = loga x, a > 0, a ≠ 1?
What is the range of the logarithmic function f(x) = loga x, a > 0, a ≠ 1?
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What is the logarithmic identity that states a^(loga N) = N?
What is the logarithmic identity that states a^(loga N) = N?
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If the characteristic of log10 N is -n, then how many zeros are there after the decimal part of N?
If the characteristic of log10 N is -n, then how many zeros are there after the decimal part of N?
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What is the logarithmic function called when the base is e?
What is the logarithmic function called when the base is e?
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If log₇(2) = m, then log₄₉(28) is equal to?
If log₇(2) = m, then log₄₉(28) is equal to?
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If logₑ(a + b) = logₑ(a) + logₑ(b), then what is the relation between a and b?
If logₑ(a + b) = logₑ(a) + logₑ(b), then what is the relation between a and b?
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If log₁₀(3) = 0.477, then the number of digits in 3⁴⁰ is?
If log₁₀(3) = 0.477, then the number of digits in 3⁴⁰ is?
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What is the correct order of the logarithms in increasing order for a given number α?
What is the correct order of the logarithms in increasing order for a given number α?
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If y = 3⁴⁰, then what is the value of log(y)?
If y = 3⁴⁰, then what is the value of log(y)?
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If logₐ(m) = logₐ(n) and a ≠ 1, then what can be concluded about m and n?
If logₐ(m) = logₐ(n) and a ≠ 1, then what can be concluded about m and n?
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If logₐ(x) = p and logₐ(y) = q, then what is the value of logₐ(xy)?
If logₐ(x) = p and logₐ(y) = q, then what is the value of logₐ(xy)?
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Solve for x in the equation log₂(x) = 3/2.
Solve for x in the equation log₂(x) = 3/2.
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If logₐ(b) = c and logₑ(d) = 1/c, then what is the value of logₑ(b)?
If logₐ(b) = c and logₑ(d) = 1/c, then what is the value of logₑ(b)?
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If a^(logₐ(m)) = m, then what is the value of m^(logₘ(a))?
If a^(logₐ(m)) = m, then what is the value of m^(logₘ(a))?
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What is the value of loga N if a^x = N and a^y = 1/N?
What is the value of loga N if a^x = N and a^y = 1/N?
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If the logarithm of a number is 2.5, then what is the value of the number?
If the logarithm of a number is 2.5, then what is the value of the number?
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What is the value of loga MN if loga M = x and loga N = y?
What is the value of loga MN if loga M = x and loga N = y?
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If loga N = 2, then what is the value of log(a^2) N?
If loga N = 2, then what is the value of log(a^2) N?
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What is the value of loga (1/N) if loga N = x?
What is the value of loga (1/N) if loga N = x?
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If logₑ(x) + logₑ(y) = logₑ(z), then what is the relationship between x, y, and z?
If logₑ(x) + logₑ(y) = logₑ(z), then what is the relationship between x, y, and z?
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Solve for x in the equation log₂(x) = 2log₂(3) + log₂(4)
Solve for x in the equation log₂(x) = 2log₂(3) + log₂(4)
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If loga(x) = loga(y) + loga(z), then what is the relationship between x, y, and z?
If loga(x) = loga(y) + loga(z), then what is the relationship between x, y, and z?
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If loga(x) = 2loga(y), then what is the relationship between x and y?
If loga(x) = 2loga(y), then what is the relationship between x and y?
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If log₂(x) = log₄(y), then what is the relationship between x and y?
If log₂(x) = log₄(y), then what is the relationship between x and y?
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