Self Studies

Logarithm and A...

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  • Question 1
    1 / -0

    The exponential form of $$\log _{ 2 }{ 16 } =4$$ is

  • Question 2
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    $$p^{0}$$ is equal to

  • Question 3
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    If $$\log _8 m+{\log}_8\dfrac{1}{6}=\dfrac{2}{3}$$, then m is equal to

  • Question 4
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    Simplify the following using law of exponents.
    $$2^{10}\times 2^4$$

  • Question 5
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    Find the mantissa of $$\log 2.125$$

  • Question 6
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    $$\log {(2\times 3\times 4)}$$ is equal to:

  • Question 7
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    Evaluate $$2^0+3^0$$

  • Question 8
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    Match the following provided that $$a$$ and $$b$$ any two rational numbers different from zero and $$x, y$$ are any two rational numbers.

    $$(1)$$$$a^{x} \times a^{y}$$
    $$(a)$$$$a^{x - y}$$
    $$(2)$$$$a^{x} \div a^{y}$$$$(b)$$$$a^{xy}$$
    $$(3)$$$$(a^{x})^{y}$$$$(c)$$$$a^{x + y}$$
    $$(4)$$$$(ab)^{x}$$$$(d)$$$$\dfrac {a^{x}}{b^{x}}$$
    $$(5)$$$$\left (\dfrac {a}{b}\right )^{x}$$$$(e)$$$$a^{x}\times b^{x}$$

  • Question 9
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    Find the characteristic of $$\log 7.93$$

  • Question 10
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    If $$\left(\dfrac{3}{2}\right)^2 \times \left(\dfrac{3}{2}\right)^{a+5}=\left(\dfrac{3}{2}\right)^8$$, then $$a =$$______ .

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