Express as a single logarithm: 2log x +3 log y- 5 log z?

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Express as a single logarithm: 2log x +3 log y- 5 log z?

2007-11-28 03:18:05 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

Simple as the world itself :)

log(x^2*y^3/z^5)

2007-11-28 03:21:18 · answer #1 · answered by Anonymous · 0⤊ 0⤋

2log x +3 log y- 5 log z
log x^2 +log y^3 - log z^5
= log (x^2y^3/z^5)

2007-11-28 03:21:54 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋

coefficients of 2 , 3 and 5 become powers on x, y and z

logx^2 + logy^3 - logz^5

add logs by multiplying the x^2 and y^3 and subtract the other log by dividing by z^5

answer: log(x^2y^3/ z^5)

2007-11-28 03:21:47 · answer #3 · answered by Linda K 5 · 0⤊ 0⤋

2log x +3 log y- 5 log z = log x^2 + log y^3 - log z^5
= log [ (x^2).(y^3) /.(z^5) ] ...................... Answer

2007-11-28 03:36:35 · answer #4 · answered by Pramod Kumar 7 · 0⤊ 0⤋