SOLUTION: Can you help me step by step on how to solve: -2log base 4(x)= log base 4(3)^2

Question 595841: Can you help me step by step on how to solve: -2log base 4(x)= log base 4(3)^2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Can you help me step by step on how to solve:
-2log base 4(x)= log base 4(3)^2
log base 4(3)^2+2log base 4(x)=0
log base 4(9)+log base 4(x^2)=0
place under single log
log4[9*x^2]=0
convert to exponential form: base(4) raised to log of number(0)=number(9x^2)
4^0=9x^2=1
x^2=1/9
x=-1/3(reject, x>0)
or
x=1/3
RELATED QUESTIONS
Can you PLEASE help me??? Can you solve this step by step?? log X - log (answered by Fombitz)
Please help me solve this equation: {{{ 2log base 3(x+4)-log base 3(9)=2 }}} (answered by MathTherapy)
can you please show me step by step of... (answered by lwsshak3)
log (base 5) (2x+3) = 3 also, show me, step by step, how exactly, you can solve this... (answered by Alan3354)
PLEASE HELP ME WIT THIS LOGARITHM EQUATION... CAN YOU PLEASE DO IT STEP BY STEP??? THANK... (answered by nerdybill)
2log(x+1)-log(x+2)=log(2x-1) base log 10 answer=1.3028 Can sir show me the... (answered by lwsshak3)
can you please help me step by step on how to solve this problem... (answered by Alan3354,josgarithmetic,macston)
2log[base 3](x+4)-log[base... (answered by ewatrrr,stanbon)
Can you show me step by step how to solve 4-ln(5-x)=5/2 (answered by lwsshak3)