Solve the equation for x?

#7^(3x)=5#

1 Answer
Alan N.
May 21, 2018

#x approx 0.2757#

Explanation:

#7^(3x) =5#

Since 5 and 7 are prime we will not be able to reduce both sides to a common base.

Take #ln# of both sides:

#3xln7 = ln5#

#3x = ln5/ln7#

#3x approx 1.60944/1.94591#

#:.x approx 0.827089/3#

#x approx 0.2757#

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