SOLUTION: Solve for x: 3log(base 2)x

SOLUTION: Solve for x: 3log(base 2)x - 2log(base 2)5x=2

Question 562605: Solve for x:
3log(base 2)x - 2log(base 2)5x=2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
3log(base 2)x - 2log(base 2)5x=2
3log2(x)-2log2(5x)=2
log2(x^3)-log2((5x)^2)=2
log2[(x^3)/(25x^2)]=2
convert to exponential form: Base(2) raised to log of number(2)=number(x^3)/(25x^2)
2^2=(x^3)/(25x^2)
4=x/25
x=100
RELATED QUESTIONS
how to solve 3log(base 2)x-2log(base... (answered by Tatiana_Stebko)

3log(base 5)X=4log(base 5)2-1/2log(base... (answered by stanbon)

Please help me solve this question Solve 4log underoot x base x�2 + 2log x sq base 4x... (answered by josgarithmetic)

3log (base 2) (5x)= 12... (answered by AnlytcPhil,longjonsilver)

How do you combine the following logarithms: 2(log(base 5)X + 2log(base 5)4 - 3log(base... (answered by josmiceli)

Question: 3(log(base 6)(x)+2log(base 6)(y)-4log(base 6)(z)) Answer: 3log(base... (answered by ewatrrr)

y=3log base 2 of... (answered by jsmallt9)

Solve: log(base 2) x - 2log(base2) (x-1) =... (answered by lwsshak3)

Condense the expression. 3log(base 10)2-log(base 10)y+1/3log(base... (answered by fractalier)