SOLUTION: solve for y; log10(y)=3-3/4log10(x)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve for y; log10(y)=3-3/4log10(x)      Log On


   

Question 334079: solve for y; log10(y)=3-3/4log10(x)
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
solve for y;
---
log%2810%2Cy%29=3-%283%2F4%29%2Alog%2810%2Cx%29
--
10%5E%28log%2810%2Cy%29%29=10%5E%283-%283%2F4%29%2Alog%2810%2Cx%29%29
--
y=10%5E3%2A10%5E%28log%2810%2Cx%29%5E%28-3%2F4%29%29
--
y=1000%2Ax%5E%28-3%2F4%29=1000%2F%28x%5E%283%2F4%29%29