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Question
Submitted by yadira_diza on Thu, 2012-02-16 10:48
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6^(3x)/15=10

6^(3x)/15=10

Answer
Submitted by Doctor on Fri, 2012-02-17 04:20
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x = Log[150]/Log[216] which is approx. 0.9321629344692847820488219720576457815003942358830985

I hope you set the brackets right in your question.

Well, this would be the answer to your problem:

6^(3x)/15 = 1/15 * 6^(3 x) = 10

Rewrite this equation as by multiplying both sides of the equation with 15:

6^(3 x) = 150

6^(3 x) = 150

(6^3)^x = 150

216^x = 150

=> x = Log[150]/Log[216]

Log of any base would work here, as long as both

Log-Functions have the same base.

=> x = Log[150]/Log[216] which is approx. 0.9321629344692847820488219720576457815003942358830985

I added a small plot for you.

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Answer
Submitted by dayamath on Thu, 2012-02-16 11:06
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price: $1.00

answer here:

body preview (28 words)

6^(3x)/15=10
xxxx xxxxxx = 150
xxxx we apply xxxxxxxxx xx xxxx xxxxx we obtain
ln(6^(3x) ) = xxxxxxx
xxxx xxxxxxxx = ln(150)
then x x ln(150)/(4*ln(6))
xxxx x x 0.7 x xxxxxxxxxxxxx


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