solve logarithm--4^(x+2)=2?

5 ⤊

solve logarithm--4^(x+2)=2?

2007-11-27 03:34:20 · 2 answers · asked by Tijuana S 1 in Science & Mathematics ➔ Mathematics

2 answers

4^(x + 2) = 2
Take log base 10 of both sides.
(x + 2) log 4 = log 2
x + 2 = log 2 / log 4
x + 2 = log 2 / log 2²
x + 2 = log 2 / 2 log 2
x + 2 = 1 / 2
x = - 3/2

2007-11-27 03:39:59 · answer #1 · answered by Como 7 · 4⤊ 1⤋

4^(x+2)=2
=>2^{2(x+2)}=2^1
=>2(x+2)=1
=>2x= -3
=>x= -3/2= -1.5

2007-11-27 03:41:36 · answer #2 · answered by mazhar 1 · 1⤊ 1⤋