SOLUTION: what is the value of x in this equation 2 raise to the -5 = (1 + 0.23x)raise to -3

Question 158856: what is the value of x in this equation
2 raise to the -5 = (1 + 0.23x)raise to -3
Answer by ranjithraghuram(4) (Show Source): You can put this solution on YOUR website!
2^-5 = (1+0.23x)^-3
1/(2)^5 = 1/(1+0.23x)^3
1/32 = 1/(1+0.23x)^3
Cross multiply the equation
32=(1+0.23x)^3
Cuberoot of 32 is 3.174802
so (1+0.23x) = 3.174802... Subract 1 from both sides
0.23x = 2.174802 Divide by 0.23 on both sides
x= (2.174802)/0.23
x= 9.4556 ~~ 9.5

RELATED QUESTIONS
What is the value of 3 raise to the power of 98�5 Give complete solution (answered by Alan3354)

How can I solve this? Find x. 1. (64) raise to x = 8 2. ([the square root of 49]) raise (answered by longjonsilver)

What is the answer for 3 to the power of x+1 = 2 raise to the power of 2x + 1? (answered by lwsshak3)

This is my last problem on this assignment and I can't figure the thing out, HELP... (answered by jim_thompson5910)

if p/q = -2/3 raise to power 9 divided by -2/3 raise to power 8 then find the value of... (answered by ankor@dixie-net.com)

Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify... (answered by Alan3354,stanbon)

what is the numerical value of 4 raise to onethird? what is the numerical value of 32... (answered by jsmallt9)

I am missing (or got a block for !) some very basic knowledge of exponents. Question: (answered by math_helper)

How to graph this and what is the domain and range? pls help me. . 1.f(x)=e^x+2... (answered by KMST)