Exponential & Logarithms (Edexcel A-Level Mathematics): Quizzes

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Logarithmic Functions
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What does log5(125)\log_5(125) mean?

What power of 5 gives 125?

If a logarithm is written as log(100)\log(100) with no base shown, what base is assumed?

10

If log2(x)=5\log_2(x) = 5, what is xx?

x=32x = 32

Which restriction applies to the base aa in loga(y)\log_a(y)?

a>0a > 0 and a1a \neq 1

What is ln(y)\ln(y) another way of writing?

loge(y)\log_e(y)

Using the Product Rule, what does log7(5×3)\log_7(5 \times 3) equal?

log7(5)+log7(3)\log_7(5) + \log_7(3)

What does log4(162)\log_4\left(\frac{16}{2}\right) simplify to using the Quotient Rule?

log4(16)log4(2)\log_4(16) - \log_4(2)

Using the Power Rule, what is log5(x4)\log_5(x^4) equal to?

4log5(x)4\log_5(x)

What is log3(x)\log_3(x) equal to using the Change of Base Formula with base 10?

log10(x)log10(3)\frac{\log_{10}(x)}{\log_{10}(3)}

What is log3(9)\log_3(9) equal to?

22

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