Find the exact solution to the equation.

10-log4(x+6) = 9

show steps. i dont know what to do when there is a log on just one side of the equation

Answer:

Exact solution to the equation is 10-log4(x+6) = 9 is -2

Explanation:

As we have given the logarithm equation in the question that

  ……….(1)

Now by using the logarithm property, we know that  

x+6>0

So x>-6

Now from equation 1

As we know the anti log property as then it becomes

Now by using anti log Properties, the above equation would becomes  

So  x=-2

Hence the possible value of x that satisfy the given logarithm equation is -2.

16

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