How do I prove that y = log(100x) is the same as y = 2 + log(x) algebraically?

2 ⤊

2007-11-06 09:19:34 · 3 answers · asked by Chess 2 in Science & Mathematics ➔ Mathematics

y = log(100x)
y = log(100) + log(x) ......multiplication rule
y = 2 + log(x)

2007-11-06 09:24:39 · answer #1 · answered by Philo 7 · 0⤊ 0⤋

y = log(100x)
= log(100) + log(x)
= log(10^2) + log(x)
= 2 log(10) + log(x)
= 2 * 1 + log(x)
= 2 + log(x)

2007-11-06 17:24:26 · answer #2 · answered by ib 4 · 1⤊ 0⤋

product property of log

log(ab) = log(a) + log(b)

log(100x) = log(100) + log(x)

log(100) = 2

y = 2 + log(x)

2007-11-06 17:24:59 · answer #3 · answered by Anonymous · 1⤊ 0⤋