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a^b=27

and, a*(b)^2 = 8

so, what is the value of  a and b ?

 Nov 20, 2015
 #1
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a^b=27

and, a*(b)^2 = 8

so, what is the value of  a and b ?

 

I graphed both these equations and the intersection is where they are both true.

 

The approximate solution from the graph is a=0.4555   and   b= -4.191

 

Let's see how close this is

 

0.4555^-4.191 = 26.9944941684914683    rounded of to 1 dp   =    27.0

0.4555*(-4.191)^2 = 8.0006210955            rounded of to 1 dp   =     8.0

 

That is pretty close :)

 

Here is the graph that I used.

https://www.desmos.com/calculator/ndtanorfqo

 Nov 20, 2015

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