help plesae log [2x] = log [4]?

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help plesae log [2x] = log [4]?

2007-10-22 17:52:13 · 2 answers · asked by Onika D 1 in Science & Mathematics ➔ Mathematics

2 answers

2x = 4
x = 2

2007-10-23 04:53:56 · answer #1 · answered by Como 7 · 0⤊ 0⤋

Since both are to the same base, the "log" part drops...

for a mathematical explanation, just raise both sides to 10..

10^(log[2x]) = 2x
10^(log[4]) = 4

Just set these two equal to each other because that is what it does in the original equation...

2x = 4
x = 2

check:
log(2(2)) = log4
log 4 = log4...

2007-10-22 17:57:14 · answer #2 · answered by sayamiam 6 · 0⤊ 0⤋