+0

# 2y times y^1/3=.0002 solve for y

0
256
1

2y times y^1/3=.0002 solve for y

Guest Feb 8, 2015

#1
+26403
+10

$$2yy^{\frac{1}{3}}=0.0002$$

This can be written as:

$$2y^{1\frac{1}{3}}=0.0002$$

Divide both sides by 2

$$y^{1\frac{1}{3}}=0.0001$$

Take log10 of both sides and use the fact that log(xa) = a*log(x):

$$1\frac{1}{3}\log{y}=\log{10^{-4}}$$

as 0.0001 = 10-4

Now log(10-4) is just -4, so

$$1\frac{1}{3}\log{y}=-4$$

or:

$$\frac{4}{3}\log{y}=-4$$

Multiply both sides by 3/4:

$$\log{y}=-3$$

So: y = 10-3 or y = 0.001

.

Alan  Feb 8, 2015
Sort:

#1
+26403
+10

$$2yy^{\frac{1}{3}}=0.0002$$

This can be written as:

$$2y^{1\frac{1}{3}}=0.0002$$

Divide both sides by 2

$$y^{1\frac{1}{3}}=0.0001$$

Take log10 of both sides and use the fact that log(xa) = a*log(x):

$$1\frac{1}{3}\log{y}=\log{10^{-4}}$$

as 0.0001 = 10-4

Now log(10-4) is just -4, so

$$1\frac{1}{3}\log{y}=-4$$

or:

$$\frac{4}{3}\log{y}=-4$$

Multiply both sides by 3/4:

$$\log{y}=-3$$

So: y = 10-3 or y = 0.001

.

Alan  Feb 8, 2015

### 1 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details