SOLUTION: log1/4y=-2/3

Question 62737: log1/4y=-2/3
Found 2 solutions by funmath, jai_kos:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
log1/4y=-2/3
If the 1/4 is the base.
log1/4(y)=-2/3
y=(1/4)^(-2/3)
y=2.5198421
:
If this is a common log:
log(1/4y)=-2/3
(1/4)y=10^(-2/3)
(1/4)y=.215443469
4(1/4)y=4(.215443469)
y=.861773876
:
Happy Calculating!!!
Answer by jai_kos(139) (Show Source): You can put this solution on YOUR website!
Given log1/4y=-2/3
Take the exponent of the above function, we get
e ^ log(1/4y) = e ^ (-2/3)
(1/4)Y = e ^ -2/3
Exponetial and logarithm are inverse functions, therefore they get cancelled.
y = e ^( -2/3) / (1/4)
y = e ^(-2/3) * 4
y = 4 * e ^(-2/3)
y = 4e^(-2/3)

RELATED QUESTIONS
f(x)=log1/3(x+1)-2 (answered by Alan3354)
what is the unknown of log1/2 16 + log1/3 9 =... (answered by stanbon)
how do you condense this problem? log1/2 sqrt x-log1/2x^3 thank... (answered by stanbon)
log1/3(5)=? (answered by Fombitz)
log1/2(8) (answered by nerdybill)
log1/2 16 =... (answered by KMST)
log1(1/2) (answered by ikleyn)
To prove: # log(1+2+3)=log1=log2+log3 (answered by jim_thompson5910)
Prove that log(1+2+3)= log1+... (answered by Alan3354,josmiceli)