Tema
Q:
Use propenties of logarithms to condense
the logarithmic expression. Write the
expression as a single logarithm whose
coefficient is 1 . Where possible, evaluate
logarithmic expressions. \( 7 \ln (x-4) \) - \( 3 \ln x \)
Q:
Determina il valore dell'espressione in notazione scientifica :
\[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]
Q:
Find the domain of the logarithmic
function. \( f(x)=\log (2-x) \)
Q:
Evaluating Logarithms. Find the value of the given variable.
\( \begin{array}{lll}\text { 1. } \log _{4} 16=x & 3 \cdot \log _{x} 1000=3 & \text { 5. } \log _{3} x=4 \\ \text { 2. } \log _{27} \frac{1}{3}=z & \text { 4. } \log _{m} 81=4 & \text { 6. } \log _{5} y=2\end{array} \)
Q:
Cutting speed, when applied to a grinding wheel, is called surface speed. What is the surface speed in ft/min of a 5 -in-diameter grinding wheel revolving at 1,100 rpm? (Surface
speed \( = \) circumference in feet \( \times \mathrm{rpm} \). )
Q:
Cutting speed, when applied to a grinding wheel, is called surface speed. What is the surface speed in ft/min of a 9-in-diameter grinding wheel revolving at 1,500 rpm? (Surface
speed \( = \) circumference in feet \( \times \) rpm.)
Q:
Evaluate the expression without a calculato
\[ \log _{6} \frac{1}{\sqrt{6}} \]
Q:
1.2 Rationalize the denominators in the following expression.
(a) \( \frac{8}{\sqrt{2}} \)
(b) \( \frac{4}{2+\sqrt{3}} \)
(c) \( \frac{3 \sqrt{2}}{8-4 \sqrt{3}} \)
(d) \( \frac{5-\sqrt{5}}{3+\sqrt{5}} \)
Q:
2. Ubica en la recta numérica los siguientes números.
a. \( -5,2 ; \sqrt{3}, 0 \)
Q:
Write the number in expanded form using exponents.
5. \( 74,271= \)
6. Number Sense Explain the difference between \( 4^{6} \) and \( 6^{4} \).
Pon a prueba tus conocimientos sobre Preálgebra!
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