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Module-23

Exponential functions

QuestionAnswer
find x: 16^x=8 make each base the same if possible, (2^4)^x=2^3 then distribute x , 2^4x=2^3, now we are able to make equation b^x=b^y, 4x=3,then divide by 4. answer is 3/4.
27^x+1=9 27^x+1=9,(3^3)^x+1=3^2 , 3^3x+3=3^2, 3x+3=2, 3x=-1 and divide by 3 , x=-1/3
graph y=(1/4)^x x=0,1,2,-1,-2 y=1,1/4,1/16,4,16
27^4x=9^x+1 (3^3)^4x=(3^2)^x+1, 3^12x=3^2x+2,12x=2x+2, 10x=2, x=1/5
1/4=2^5x 2^-2=2^5x, -2=5x, x= -2/5
Graph y= 2x+5 x=-1,0,1 y=3,5,7
Created by: CandaceC
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