SOLUTION: Good morning, can you help me solve this problem? can you find the value of x? 2^-5 = (1 + 0.23x)^-3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Good morning, can you help me solve this problem? can you find the value of x? 2^-5 = (1 + 0.23x)^-3      Log On


   

Question 158979: Good morning, can you help me solve this problem? can you find the value of x?
2^-5 = (1 + 0.23x)^-3
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
2^-5 = (1 + 0.23x)^-3, (working eqn)
Multiply both eqns by -1%2F3 to isolate variable with x:
%282%5E-5%29%5E%28-1%2F3%29=%28%281%2B0.23x%29%5E-3%29%5E%28-1%2F3%29
2%5E%285%2F3%29=%281%2B0.23x%29%5Ecross%28-3%29%5E%28-1%2Fcross%283%29%29
3.1748=1%2B0.23x
3.1748-1=0.23x
2.1748%2F0.23=cross%280.23%29x%2Fcross%280.23%29
x=9.45565, ANSWER
check by going back working eqn:
2%5E-5=%281%2B0.23%289.45565%29%29%5E-3
1%2F2%5E5=%281%2B2.1748%29%5E-3
1%2F2%5E5=3.1748%5E-3
1%2F2%5E5=1%2F3.1748%5E3
1%2F32%3E=1%2F31.9999
0.03125=0.03125
Thank you,
Jojo