precalculus
posted by Sara .
solve the following equation show all work log4(x4)= 1.

by definition:
log_{4} (x4) = 1
is equivalent to
x4 = 4^1
x4 = 1/4
x = 1/4  4
= 15/4
so we would have log (3/44)
but we cannot take the log of a negative, so ....
no solution. 
log takes on all real values for its range. So, something's wrong here.
x  4 = 1/4
x = 1/4 + 4
x = 17/4
log_{4}(17/4  4) = log_{4}(1/4) = 1
Respond to this Question
Similar Questions

Algebra II
Solve, round to four decimal places if necessary: log4(x9)=2 Answer: x9=4^2 x9=16 x=11 log4(z)+log4(z3)=1 Answer: z+z3=1 2z=4 z=2 Thanks for checking my work. 
Logarithms
Solve log4 x + log4(x2)=log4(15) I know how do the example in my book but I don't know what I'm doing wrong here. log4 x + log4(x2)=log4(15) log4 [x + log4(x2)]=log4(15) (x^2 + x)=4 x^2 + x4=0 
math
Solve the equation algebraically. Round the result to three decimal places. log4 x  log4(x1) = 1/2 I have no idea how to do this. Please help! 
Algebra 2
Simplify: 1. 2log10^5+log10^4 2. 2log3^6log3^4 3. log4^40log4^5 4. log4^3log4^48 I need to see all of the steps. Thanks 
Trig/PreCalc
Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4xlog4(x1)=1/2 To start off … 
math
2. Simplify. Please be sure to show all of your work. 3(9) – 5 – 3 3. Simplify. Please show all of your work 9c^3+7c(3c^312+c) 4. Solve 4x 3(5x8) =239(x+2) . Please show all of your work 5. Solve the following equation … 
precalculus
write the expression as a sum or difference of logarithms. express powers as factors show all work log4 sqrt pq/7 
precalculus
solve the following exponential equation. show all work. 4^(4x+2)= 1/64 
precalculus
solve the exponential equation express in exact form only show all work. 2e^x= squareroot 10e^x +3 
Math Algebra 2
#4. Express the logarithm in terms of log2M and log2N: log2 1/MN #5. Simplify: log4 3  log4 48 #6. Solve the equation: loga x = 3/2loga 9 + loga 2 #7. Solve the equation: logb (x2 + 7) = 2/3logb 64 #8. Solve the equation: loga (3x …