What is the answer to solvefor x,log_{10}(w)=log_{10}(x)+1/2 log_{10}(y) ?

The answer to solvefor x,log_{10}(w)=log_{10}(x)+1/2 log_{10}(y) is x= w/(sqrt(y))

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solvefor x,log_{10}(w)=log_{10}(x)+1/2 log_{10}(y)

solve for

x, lo g_{10} (w) = lo g_{10} (x) + \frac{1}{2} lo g_{10} (y)

x = \frac{w}{y}

Solution steps

lo g_{10} (w) = lo g_{10} (x) + \frac{1}{2} lo g_{10} (y)

Switch sides

lo g_{10} (x) + \frac{1}{2} lo g_{10} (y) = lo g_{10} (w)

Move

\frac{1}{2} lo g_{10} (y)

to the right side

lo g_{10} (x) = lo g_{10} (w) - \frac{1}{2} lo g_{10} (y)

Apply log rules

x = \frac{w}{y}

N = - 950 (20) - 50000 + 3500 (20)

6 x - 10 = - 16

5 x + 8 x + 63 = 180

- 5 x = 4

8 x + 7 (6 x - 3) + 5 x + 8 (x - 3) = 9 (2 x - 8) - 10

What is the answer to solvefor x,log_{10}(w)=log_{10}(x)+1/2 log_{10}(y) ?
The answer to solvefor x,log_{10}(w)=log_{10}(x)+1/2 log_{10}(y) is x= w/(sqrt(y))