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Assignment 2A.3
Algebra II
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Assignment $2 \mathrm{~A} .3$
1. a) Write the equation for the inverse of $f(x)=\log _{8} x$.
b) Write at least three points on the of the inverse of $f(x)$.
(3 points)
2. Solve for $\mathrm{x}$.
\[
3^{x}=27^{\frac{2}{3}}
\]
3. Solve for $x$.
\[
3^{x}=9^{x-1}
\]
4. Solve for $x$.
$4^{(3 x+5)}=16$
5. Solve for $x$.
\[
8^{\frac{1}{3}}=2^{x+1}
\]
$60 \circ \mathrm{F}$
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Answer
\boxed{x = 2}
Step 1 ：\(3^x = 27^{\frac{2}{3}}\)
Step 2 ：\(3^x = (3^3)^{\frac{2}{3}}\)
Step 3 ：\(3^x = 3^{(3 \cdot \frac{2}{3})}\)
Step 4 ：\(3^x = 3^2\)
Step 5 ：\boxed{x = 2}
