Question

Find the exact solution to the equation.

Answer 1

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

$10-log4(x+6)=9$   ……….(1)

Now by using the logarithm property, we know that  

x+6>0

So x>-6

Now from equation 1

$log4(x+6)=1$

As we know the anti log property as $loga(x)=b$ then it becomes $(x)=(a)^b$

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

$x+6=(4)^1$

$x+6=(4)$

$x=-6+(4)$

So  x=-2

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