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uSE THE PROPERTIES OF LOGARITHMS TO SIMPLIFY EACH EQUATION ANDSOLVE IT. ROUND TO

ID: 3089805 • Letter: U

Question

uSE THE PROPERTIES OF LOGARITHMS TO SIMPLIFY EACH EQUATION ANDSOLVE IT. ROUND TO THE NEAREST HUNDREDTH. 1. In (x - 3) =1         2. 2 In x - In 3=2                  3. In ( x + 2 + In ( x - 2) = 0 Use the change of base formula to rewrite eACH EQUATION ANDSOLVE IT. rOUND TO THE NEAREST HUNDREDTH. 1. LOG412        2.LOG25               gIVE AN EXAMPLE OF OF AN EXPONENTIAL EQUATION WHOSE SOLUTIONIS A NEGATIVE NUMBER. uSE THE PROPERTIES OF LOGARITHMS TO SIMPLIFY EACH EQUATION ANDSOLVE IT. ROUND TO THE NEAREST HUNDREDTH. 1. In (x - 3) =1         2. 2 In x - In 3=2                  3. In ( x + 2 + In ( x - 2) = 0 Use the change of base formula to rewrite eACH EQUATION ANDSOLVE IT. rOUND TO THE NEAREST HUNDREDTH. 1. LOG412        2.LOG25               gIVE AN EXAMPLE OF OF AN EXPONENTIAL EQUATION WHOSE SOLUTIONIS A NEGATIVE NUMBER.

Explanation / Answer

1. In (x - 3) = 1
e=x-3
5.718=x
        
2. 2 In x - In 3 = 2
lnx2 -ln3=2
ln(x2/3)=2
e2=x2/3
3e2=x2
±4.708=x
   
3. In ( x + 2) + In ( x - 2) = 0
ln(x2-4)=0
x2-4=1
x2=5
x=±2.236
1. LOG 412
4x=12
xln4=ln12
x=ln12/ln4
x=1.792

2. LOG25
2x=5
xln2=ln5
x=ln5/ln2
x=2.322