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How do you solve this exponential equation?

6^(x + 1) = 20

2007-02-12 13:34:19 · 2 answers · asked by avalentin911 2 in Education & Reference Homework Help

2 answers

6^(x + 1) = 20

Take log of both sides:
log 6^(x + 1) = log 20

Take the exponent out of the log:
(x + 1) log 6 = log 20

Solve:
x + 1 = log 20 / log 6 = 1.672
x = 0.672 (solution!)

2007-02-15 05:11:54 · answer #1 · answered by ³√carthagebrujah 6 · 0 0

6^(x + a million) = 20 (x + a million)ln(6) = ln(20) xln(6) + ln(6) = ln(20) xln(6) = ln(20) - ln(6) x = (ln(20) - ln(6))/(ln(6)) ANS : x = (ln(20) - ln(6))/(ln(6)) or (ln(20)/ln(6)) - a million or about .672

2016-11-27 19:15:55 · answer #2 · answered by ? 4 · 0 0

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