SOLUTION: Solve each equation. Show all steps and work. Round your answers to four decimal places. a. 6^2x=250 b.〖log〗_3 (x-3)+〖log〗_3 (x-7)=4 Given the function f(x)=〖

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Question 1138686: Solve each equation. Show all steps and work. Round your answers to four decimal places.
a. 6^2x=250
b.〖log〗_3 (x-3)+〖log〗_3 (x-7)=4


Given the function f(x)=〖log〗_2 (x-2)-1.
1. Graph the function
2. Find its domain & range
3. Write the equation of its asymptote

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a.
....take a log of both sides

............since , and , we have






b.
.....convert to base
....both sides multiply by

.......since log same, we have



......use quadratic formula






solutions:
=>
=>=> since log disregard negative solution
so, your solution is:


Given the function
1. Graph the function

2. Find its domain & range
domain: { element : }
range: (all real numbers)
3. Write the equation of its asymptote
Vertical asymptote:
-> as


Horizontal asymptote:


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