How do you get the same base for the power

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

64 = 2 ^6
16 = 2^4 =

2^ 6*(2x+4) = 2^4 * 5x

6(2x+4) = 20x

10/3 x = 2x +4

4/3 x = 4

x = 3

you can also use logarithms like so

(2x+4)ln64 = 5x ln16

ln64/ln16 = 3/2

3/2 * 2x + 3/2 * 4 = 5x

3x + 6 = 5x

2x = 6

x = 3

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