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Find the exact solution to the equation.

10-log4(x+6) = 9

Please Show steps. I dont know what to do when there is a log on just one side of the equation

User Tom Maher
by
8.6k points

1 Answer

1 vote

Answer:

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

Step-by-step 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.

User Ano
by
8.3k points

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