SOLUTION: log(base6)(b^2 + 2) + log(base6)2 = 2 and log(base3)(5x+5) - log(base3)(x2 - 1) = 0 Thank You!

Use this principle of logs on the left:







Now use this principle of logs on that equation:

The log equation  can be rewritten 
as the exponential equation 





Subtract  from both sides:



Divide both sides by 2





Subtract 16 from both sides:



Factor the left side:



Set each factor = 0

 gives solution 

 gives solution  

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and 



Use this principle on the left:
 


Factor the numerator and denominator:



Cancel the 's





The log equation  can be rewritten 
as the exponential equation 



Any number, except 0, raised to the 0 power is 1. So
we replace  by 



Multiply both side by 





Simplify:





Edwin