SOLUTION: Rewrite each as an equivalent exponential equation. 1) log(3)5=y 2 log(a)7=-2 Solve log(2)x=-3 log(x)9=1/2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite each as an equivalent exponential equation. 1) log(3)5=y 2 log(a)7=-2 Solve log(2)x=-3 log(x)9=1/2       Log On


   

Question 723725: Rewrite each as an equivalent exponential equation.
1) log(3)5=y
2 log(a)7=-2
Solve
log(2)x=-3
log(x)9=1/2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite each as an equivalent exponential equation.
1) log%283%2C5%29+=+y
The base of 3, raised to the power of y, equals 5
3%5Ey+=+5
:
2 log%28a%2C7%29+=-2
a%5E-2+=+7
:
Solve
log%282%2Cx%29+=+-3
2%5E-3+=+x
The reciprocal gets rid of the neg exponent
1%2F%282%5E3%29+=+x
1%2F8+=+x
:
log%28x%2C9%29+=+1%2F2
x%5E%281%2F2%29+=+9+
square both sides
x%5E%28%281%2F2%29%2A2%29+=+9%5E2
x%5E1+=+81
or just
x = 81