Math
posted by Bethany
Solve the logarithmic equation. Please show all of your work.
Loga(x+4) + loga(x4) = 4

Anonymous
lgt(a)+lgt(b)=lgt(a*b)
lgt(x+4)+lgt(x4)=4
lgt[(x+4)*(x4)]=4
lgt is the logarithm with base 10.
Antilogarithm of this expresion is
(x+4)*(x4)=10^4
(x+4)*(x4)=10.000
x^2+4x4x4*4=10.000
x^216=10.000
x^2=10.000+16
x^2=10.016
x=sqroot(10.016)
x=100.0799680256
Respond to this Question
Similar Questions

math trouble
I have 2 problems I need help with using either substitution or elimination method what is the solution set of 3x 2y = 4 and 5x = 2y? 
HELP!
I have no idea what the answer to this problem is, I'm given choices but I'm still lost. Given: log sub a 2=.4, log sub a 3 =.5, log sub a 5=.8 what is log sub a .01? 
Algebra help
If loga 8=2.079, loga 5=1.609, and loga 3=1.099, find the following? 
algebra
express as an equivalant expression that is a single logarithmic and simplfy if poissible loga(2x+10)loga(x^225) 
Math  logarithmic equation
Solve the logarithmic equation. Please show all of your work. Loga(x+3) + loga(x3) = 3 
Math  Properties of Logarithm
Can someone show how to this question. Loga(x+3) + Loga(x3) = 3 I don't know if I'm typing this correctly the a is the base. So, I'm thinking, Loga((x+3)(x3)) = 3 (x+3)(x3) = 3^a x^2  9 = 3^a, x^2 = 3^a + 9 x = sqrt(3^a + 9) but … 
math/calculus
solve the equation loga(x5) loga (x+9)=loga(x7)loga(x+9) all a's are lower please show work 
mathplease help,need quickly
loga(x5)loga(x+9)=loga(x7)loga(x+9) all the a's are lower please show work 
Math Algebra 2
How do I put log in a TI84 calculator. #1.Express the logarithm in terms of log2M and log2N: log2(MN)4 #2. Express the logarithm in terms of log2M and log2N: log2 the cube root of M2N #3. Express the logarithm in terms of log2M and … 
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 …