SOLUTION: 1) if 8^x=4, what does 8^-3x equal? 2) 2^(7-3x)=1/4, x=? 3) 4^(3x-7)=16, x=? 4) 9^2x * 27^(3-x)=1/9, x=? 5) log3^9=x

Algebra.Com
Question 943359: 1) if 8^x=4, what does 8^-3x equal?
2) 2^(7-3x)=1/4, x=?
3) 4^(3x-7)=16, x=?
4) 9^2x * 27^(3-x)=1/9, x=?
5) log3^9=x

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
1) if 8^x=4, what does 8^-3x equal?


cube both sides


..
2) , x=?

7-3x=-2
3x=9
x=3
..
3) , x=?

3x-7=2
3x=9
x=3
..
4) , x=?



9+x=-2
x=-11
..
5) log(3^9)=x
10^x=3^9
xlog10=log(3^9)
x=log(3^9)

RELATED QUESTIONS

Solve # 25 – 34 Show Work Please if possible. 25. 32^2x-3 = 2 26. 9^2x+1 = 81... (answered by Alan3354)
exponential equations 4^3x-3=8^4x-4, 9^-X-5=27^6x-10, 125^3x-4=25^4x+2,... (answered by ewatrrr)
What is the solution to 1. y = 3x – 8 y = 4 – x 2. x + y = 0 3x + y = -8 (answered by Alan3354)
-3(x+4)-5(x-4) 9/16-3/8+1/4... (answered by rfer)
5(x-4)=12 solve for X please 12(x-6)=2(x-9) 4(2x-3)+8(x-4)=2(2x+6) (answered by JBarnum)
7(3x + 4) = 8(2x + 5) + 13 2(x - 3) - 3(x + 5)= 3(x - 2) - 7 3x - 5(3x - 7)=... (answered by checkley71)
7(3x+4)=8(2x+5)+13 2(x-3)-3(x+5)=3(x-2)-7 3x-5(3x-7)=2(x+9)+45 (answered by jim_thompson5910)
9/4a=13 or 9 = 13 * 4a or 9 = 52a or 9 / 52 = a 2/7=x/3 or (2 /7) * 3 = x (answered by anjali_yamini)
2/3 x=9 2x+1=9 2x-8 4x=3x+4 6x+3=5x 7/8 (x-2) = 3/4 - 1/8 x 3x-0.54=2x... (answered by rapaljer)