SOLUTION: Are my answers and work correct for these questions? Directions:Solve each of the following simple logarithmic equations. Show work. 17) log3 x = 4 logb(x)=y is equivalent to

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Are my answers and work correct for these questions? Directions:Solve each of the following simple logarithmic equations. Show work. 17) log3 x = 4 logb(x)=y is equivalent to      Log On


   

Question 1007599: Are my answers and work correct for these questions?
Directions:Solve each of the following simple logarithmic equations. Show work.
17) log3 x = 4
logb(x)=y is equivalent to b^y=x
3^4= x
81=x
18) log5 (x + 2) = 3
5^3= (x-2)
125= 125-2
x=123

19) log2 (3x – 4) = 5
2^5= 3x-4
x= 12
20) logx 1000 = 3
x^3=1000
x= 10
Found 2 solutions by fractalier, MathLover1:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, these are all correct...good work...you might want to add a step or two in #19:
32 = 3x - 4
36 = 3x

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
17) log%283%2C+x%29+=+4%09
logb(x)=y is equivalent to b^y=x
3%5E4=+x
81=x=>CORRECT
18) log%285%2C+%28x+%2B+2%29%29+=+3
5%5E3=+%28x-2%29=> incorrect, should be x%2B2
125=+x%2B2
x=+125-2
x=123=>CORRECT

19) log%282+%2C%283x+-+4%29%29+=+5
2%5E5=+3x-4
32=+3x-4
32%2B4=+3x
36=+3x
x=+12=>CORRECT
20) log%28x%2C+1000%29+=+3
x%5E3=1000
x=+10=>CORRECT