Problem
blackboe $\times$ Mountst $X$ My Gradi $X$ Upload A X Mount St $\mathrm{x}$ The Fron $X$ Take Test $X$ Bil Assignme $X$ My Grad $x$ https//obridgeblackboard.com/webapps/blackboard/content/listContent.jsp?course_id=_1664_18ucontent_id=_206112_1 BASKETBAL STARS... \& Papa's Freezeria 8. Amaronicom - Onliw B. Booking.com $Y$ McAfee Security LastPass password... a. Amazon.com - Onli... LastPass Assignment 2A.3 Algebra II Home Page Teacher Course Introduction Syllabus Course Materials My Grades Course Survey HELP BlackBoard 101 Video Tutorials 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 $x$. \[ 8^{\frac{1}{3}}=2^{x+1} \] $60 \circ \mathrm{F}$ Clear Q Search
Solution
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}
