Solve the equation.\log(x+2)-\log x=2\log 4ZKS

rocedwrp

rocedwrp

Answered question

2021-09-20

Solve the equation.
log(x+2)logx=2log4

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-09-21Added 106 answers

Step 1 Given equation
log(x+2)logx=2log4
Step 2 Formula
logalogb=logalogb
log(ab)=loga×logb
logxn=nlogx
Step 3 We need to solve the equation
log(x+2)logx=2log4
log(x+2)logx=2log4
log(x+2)logx=log42
Taking anti−log on both sides
x+2x=16
x+2=16x
16-x=2
15x=2
x=215
Step 4 Answer
x=215

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