SOLUTION: Use properties of logarithms to solve the equation log(base4)(x+2)= 1/3log(base4)64

Algebra.Com
Question 475055: Use properties of logarithms to solve the equation log(base4)(x+2)= 1/3log(base4)64
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
log(base4)(x+2)= 1/3log(base4)64 = log(base4) 64^(1/3) = 1
and
log(base4)(x+2)= 1
(x+2) = 4^1
x + 2 = 4
x = 2
RELATED QUESTIONS

Solve: 2log(base4)x+log(base4)3=log(base4)x-log(base4)2 (answered by rapaljer)
find the two values of x that satisfy the equation:... (answered by nerdybill,josmiceli)
Use the properties of Logarithms to write {{{ 3log x+(1/2)log y-log z }}} as single... (answered by solver91311)
Log base4 (x^2 - 3) + Lobg base4... (answered by Earlsdon)
Use the definition of the logarithmic function to find x? log(base4) x =... (answered by fcabanski)
solve for x log(base4)(x^2-3x) =... (answered by josmiceli)
what is the simplified form of (log base4 64)/(2log base4 √4)? a. log base4 4 b.... (answered by Boreal)
how do you write the expression as a single logarithum: 1/2[log(base4)(x+1) +... (answered by gonzo)
log(base4)(x-9)-log(base4)(x+3)=2 (answered by lwsshak3)