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Question

# 6^(3x)/15=10

6^(3x)/15=10

Answer

Submitted by Doctor on Fri, 2012-02-17 06:20

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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 13:06

price: $1.00