0

I need help with an equation that was given me, but I need to change the unknown factor.

So far, the equation is A=7*B^0.2

However, A is known and the unknown factor is B. How do I change this equation into the form of B=... ?

Thank you very much, all help is appreciated.

Fred

frenchfilm
  • 3

2 Answers2

1

Mutpiplying by $\frac{1}{7}$ to both sides:

$$ B^{0.2} = \frac{1}{7} \cdot A $$

and now since $\frac{1}{5} = 0.2$, elevating to the fith power to both sides leaves us with

$$ B = B^1 = (B^{0.2})^5 = \frac{1}{7^5}A^5 = (\frac{A}{7})^5 $$

qualcuno
  • 17,121
0

First notice that $0.2= 1/5$, so your starting point is $$ A=7B^{\frac{1}{5}}.$$ Divide both sides by $7$ to get $$ \frac{A}{7}=B^{\frac{1}{5}}. $$ Finally, exponentiate both sides to the power of $5$ to get $$ \left(\frac{A}{7}\right)^5=B. $$

mzp
  • 1,925
  • 2
  • 18
  • 41