Rewrite each equation as requested. \[ \log _{3} 81=4 \] (a) Rewrite as an exponential equation. (b) Rewrite as a logarithmic equation. \[ 8^{-1}=\frac{1}{8} \] (a) \( \log _{\square}=\square \)

3. Uis tiene el triple de dinero de maria menos \( \$ 1,0000 \) si entre ambos tienen \( \$ 110,000 \) ¿Cuanto dinero tiene en tatal maria?

will be cqual, if either \( b=0 \), or \( a^{3}+b^{2}+c^{3}-3 a b c-0 \). If \( a, b, c \) arc rational and \( a+b+c=0 \), show that the roots of \( (b+c-a) x^{2}+(c+a-b) x+ \) \( (a+b-c)=0 \) are rational.

\( 4 x^{2}+k x+5=0 \) has roots whose difference is \( \frac{1}{4} \)

sum of partial fractions. c. \( \frac{x^{2}-3}{x^{3}+x^{2}+x+1} \)

\( \left. \begin{array} { l } { c ^ { 2 } - a b = 22 } \\ { b ^ { 2 } - a c = - 103 } \\ { a ^ { 2 } - b c = ? } \end{array} \right. \)