SOLUTION: I have a few problems that I am stumped with. They are due in the morning and I have been up all nite trying, so here goes: Q. 1. 2log(w)-log(3w+7)=1 My answer is w2 = 30w +

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I have a few problems that I am stumped with. They are due in the morning and I have been up all nite trying, so here goes: Q. 1. 2log(w)-log(3w+7)=1 My answer is w2 = 30w +      Log On


   



Question 660347: I have a few problems that I am stumped with. They are due in the morning and I have been up all nite trying, so here goes:
Q. 1. 2log(w)-log(3w+7)=1
My answer is w2 = 30w +70

Q. 2. 12+20 7-2t = 50
the 7 - 2t in this case are to the 7th power minus 2t. I can't get this on my pc to work right,
I am totally stumped on this one.
Thanks.
Bob

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1.2%2Alog%28w%29+-+log%28+3w+%2B+7+%29+=+1+ ( is this it )?
+log%28+w%5E1.2+%29+-+log%28+3w+%2B+7+%29+=+log%2810%29+
+log%28+w%5E1.2+%29+=+log%28+10+%29+%2B+log%28+3w+%2B+7+%29+
+log%28+w%5E1.2+%29+=+log%28+10%2A%28+3w+%2B+7+%29+%29+
+log%28+w%5E1.2+%29+=+log%28+30w+%2B+70+%29+
+w%5E1.2+=+30w+%2B+70+
+w%5E1.2+-+30w+-+70+=+0+
Now I'm stuck
+2.12+%2B+20%5E%28+7+-+2t+%29+=+50+
+20%5E%28+7+-+2t+%29+=+47.88+
+log%28+20%5E%28+7+-+2t+%29%29+=+log%28+47.88+%29+
+%28+7+-+2t+%29%2A+log%28+20+%29+=+log%28+47.88+%29+
+7+-+2t+=+log%28+47.88+%29+%2F+log%28+20+%29+
+2t+=+7+-+log%28+47.88+%29+%2F+log%28+20+%29+
+t+=+7%2F2+-+log%28+47.88+%29+%2F+%282%2Alog%28+20+%29%29+
I'm not sure I copied these right