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Submitted by yadira_diza on Thu, 2012-02-16 13:48
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# 6^(3x)/15=10

6^(3x)/15=10

Submitted by Doctor on Fri, 2012-02-17 07:20
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## x = Log[150]/Log[216] which is approx. 0.9321629344692847820488219720576457815003942358830985

I hope you set the brackets right in your question.

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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Submitted by dayamath on Thu, 2012-02-16 14:06
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