Question

Can someone please help me with problem #9 in this solving exponential equations assignment?

Directions: Solve the equation using a common base.

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Answer 1

Answer:

Step-by-step explanation:

(8)^(x+2) = 4        common base is '2'  ===>   8 is  2^3   and  4 is 2^2

(2^3) ^(x+2) = 2^2

2^(3x+6) = 2^2       Now you can just equate the exponents

3x+6 = 2                  Now, solve for 'x' ....subtract 6 from both sides

3x= - 4                      Divide both sides by 3

x = - 4/3