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3 years ago

14

Solve the linear equation

le="4^{x+7} = 8^{2x-3}" alt="4^{x+7} = 8^{2x-3}" align="absmiddle" class="latex-formula">

1 answer:

GREYUIT [131]3 years ago

3 0

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

8^(2x-3) = 2^3(2x-3)

2^2(x+7) = 2^3(2x-3)

Since the bases are the same;

2(x+7) = 3(2x-3)

2x + 14 = 6x -9

14 + 9 = 6x - 2x

23 = 4x

x = 23/4

<u>x = 5.75</u>

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