Find the solution of the equation: 3^(x/12)=0.1 and correct to four decimal places.?

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Find the solution of the equation: 3^(x/12)=0.1 and correct to four decimal places.?

2006-12-10 07:32:42 · 2 answers · asked by jere 1 in Science & Mathematics ➔ Mathematics

2 answers

log 3^(x/12) = log 0.1
x/12 * log 3 = log 0.1
x/12 = log 0.1/log 3
x = 12 log 0.1/log 3

Plug into calculator

2006-12-10 07:35:15 · answer #1 · answered by Jim Burnell 6 · 0⤊ 0⤋

use logarithims

by definition 3^(x/12)=0.1 in logarithim terms is

log base 3 of .1 = x/12
so x = 12 * ((log .1)/(log 3))

dont have a scientific calc sorry

2006-12-10 07:36:15 · answer #2 · answered by A H 1 · 0⤊ 0⤋