Topic
Q:
3. Write the expression in expanded form:
\( \log \frac{x^{3}(x+3)}{(x-1) \sqrt{x+5}} \)
Q:
Find the \( n^{\text {th }} \) term \( a_{n} \) of a sequence whose first four terms are given.
\[ -\frac{8}{8},-\frac{9}{16},-\frac{10}{24},-\frac{11}{32}, \ldots \]
Q:
Find the \( n^{\text {th }} \) term \( a_{n} \) of a sequence whose first four terms are given.
\[ -\frac{8}{8},-\frac{9}{16},-\frac{10}{24},-\frac{11}{32}, \ldots \]
Q:
Find the \( n^{\text {th }} \) term \( a_{n} \) of a sequence whose first four terms are given.
\[ 7,49,343,2401, \ldots \]
Q:
The \( n^{\text {th }} \) term of a sequence is given. Find the indicated term. Express your answer in simplest form
\[ d_{n}=\frac{2^{n}}{(n+1)!} ; \text { find } d_{4} \text {. } \]
Q:
Write the expression in expanded form:
\( \log _{2} \frac{x^{3} y}{5 z^{6}} \)
Q:
Evaluate the expressic
\( \frac{(n-4)!}{(n-2)!}=\square \)
Q:
Write 71/200 as a decimal number.
Q:
Rewrite each equation as requested.
(a) Rewrite as a logarithmic equation.
\[ e^{x}=2 \]
(b) Rewrite as an exponential equation.
\[ \ln 9=y \]
Q:
Write expression \( \log \left(\frac{x^{4} y^{10}}{z^{7}}\right) \) as a sum or difference of logarithms with no exponents. Simplify your
answer completely.
\( \log \left(\frac{x^{4} y^{10}}{z^{7}}\right)=\square \)
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