how would u simplify log5(20)??

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I need to get log5(20) into1+log5(4) how would i do that?

2007-12-03 16:33:22 · 3 answers · asked by michelle 1 in Science & Mathematics ➔ Mathematics

log is log to base 5 in the following:-

log (20) = log (5 x 4)
log (20) = log 5 + log 4
log (20) = 1 + log 4

2007-12-03 21:50:12 · answer #1 · answered by Como 7 · 0⤊ 0⤋

log5 (20) = log5 (5) + log5(4)
log_a a = 1

= 1 + log5(4)

2007-12-04 00:41:35 · answer #2 · answered by A Little Sarcasm Helps 5 · 0⤊ 0⤋

let log (base 5) 20 = x

5^x = 20
5^x = 5* 4
x= log(base 5) 5 + log(base 5) 4
= 1 + log (base 5) 4

2007-12-04 00:39:38 · answer #3 · answered by Mein Hoon Na 7 · 0⤊ 0⤋