SOLUTION: Use like bases to solve the exponential equation for x. 256 � 4^(9x + 3) = 64

Question 1059802: Use like bases to solve the exponential equation for x.
256 � 4^(9x + 3) = 64
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Express the whole thing using base-two.

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You should understand, left and right members each are the base 2, raised to different expressioned exponents. The exponents must be equal. You can try taking logarithms-base two of both members, but you should understand through corresponding parts without the taking of logs....

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Use like bases to solve the exponential equation for x.
256 � 4^(9x + 3) = 64

------ Converting 256 and 64 to base 4
------ Applying
4 + 9x + 3 = 3 ------- Bases are equal and so are the exponents
7 + 9x = 3
9x = - 4

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