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Chapter 10: Q. 5 (page 700)

f(x)=log4(x-2)(a)Solvef(x)=2(b)Solvef(x)鈮�2

Short Answer

Expert verified

Part(a) The solution set is {18}

Part(b) The solution set is(2,18]

Step by step solution

01

Part(a) Step 1. Given Information

The given function isf(x)=log4(x-2)

02

Part(a) Step 2. Calculation

Substitute 2 in the given function,

2=log4(x-2)x-2=42x-2=16x=18

03

Part(b) Step 1. Calculation

The domain of function consists of all x for which x-2>0orx>2

Replace the function with log4(x-2)in the given inequality.

log4(x-2)鈮�2x-2鈮�42x-2鈮�16x鈮�18

Thus,x>2andx鈮�18

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