SOLUTION: Solve for X. 8raised to the power of x+4 is equal to 16raised to the power of 4x-3. 8^x+4=16^4x-3

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Question 1148413: Solve for X. 8raised to the power of x+4 is equal to 16raised to the power of 4x-3.
8^x+4=16^4x-3
Found 3 solutions by josgarithmetic, ikleyn, josmiceli:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!







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Answer by ikleyn(52818)   (Show Source): You can put this solution on YOUR website!
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Left  side is  8^(x+4) = (2^3)^(x+4) = 2^(3*(x+4)).


Right side is  16^(4x-3) = (2^4)^(4x-3) = 2^(4*(4x-3)).


Thus  2^(3*(x+4)) = 2^(4*(4x-3)).


Since the numbers are equal and the bases are the same,  indexes are equal:


    3*(x+4) = 4*(4x-3)


    3x + 12 = 16x - 12

    12 + 12 = 16x - 3x

    24      = 13x


ANSWER.  x = .

Solved, explained and completed.



Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


Use the rule:

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check:






OK
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