SOLUTION: solve each equation by first rewriting the expression in each part with the same base c. 4^2x=(1/2)^x+5

Question 1076076: solve each equation by first rewriting the expression in each part with the same base
c. 4^2x=(1/2)^x+5
Found 3 solutions by MathLover1, jorel1380, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

c.

........since always will be equal , we have

Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
4^2x=(1/2)^(x+5)
4^2x=((4^-0.5)^(x+5)
4^2x=4^(-0.5x-2.5)
2x=(-x-5)/2
4x=-x-5
5x=-5
x=-1
☺☺☺☺
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

solve each equation by first rewriting the expression in each part with the same base
c. 4^2x=(1/2)^x+5

------ Converting and

4x = - 1(x + 5) ------- Bases are equal and so are the exponents
4x = - x - 5
4x + x = - 5
5x = - 5

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