# Math Help - algebra refresher problems

1. ## algebra refresher problems

1. $^3\sqrt{x}=4$
2. $2x^2-17=-8$
3. $-7*2^x=-224$
4. $(\frac{2}{3})^x=\frac{3}{2}$
5. $3^x=\frac{1}{9}$

I've picked out these problems in relation to one question. What do I do with all these indexes and powers? I totally forgot.

Thanks.

2. problem 2

$2x^2 -17 = -8$

$2x^2 = 9$

$x^2 = \frac{9}{2}$

$x =^+_- \sqrt{\frac{9}{2}}$

3. problem 5

$3^x = \frac{1}{9}$

$3^x = \frac{1}{3^2}$

$3^x = 3^{-2}$

$x = -2$

4. problem 1

$^3\sqrt{x}=4$

$x= 4^3$

$x = 64$

5. Problem 3

$(-7)(2^x) = -224$

$2^x = 32$

$2^x = 2^5$

$x =5$

problem 4

$\bigg(\frac{2}{3}\bigg)^x = \bigg(\frac{3}{2}\bigg)$

$\bigg(\frac{2}{3}\bigg)^x = \bigg(\frac{2}{3}\bigg)^{-1}$

$x = -1$