SOLUTION: Solve the following equation for x: 6^(x-4)=7^(-7x) Write your answer as an expression involving base-10 logarithms.

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Question 254226: Solve the following equation for x:

6^(x-4)=7^(-7x)
Write your answer as an expression involving base-10 logarithms.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!





Take the base-10 log of both sides:



Apply



to write:



Multiply both sides by



Add to both sides:



Factor the LHS:



Multiply both sides by the reciprocal of the constant coefficient in the LHS:




John