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

6^(3x)/15=10

Answer
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.

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 14:06
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answer here:

body preview (26 words)

xxxxxxxxxxxx

then xxxxxx = 150

xxxx xx apply logarithm xx both xxxxx we obtain

xxxxxxxxx x = xxxxxxx

then xxxxxxxx x xxxxxxx

then x = xxxxxxxxxxxxxxxxx

then x x xxx x xxxxxxxxxxxxx


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