Question

find x if 7^{6} × 7^{2x} = 7^{10}

Answer 1

Answer:

Step-by-step explanation:

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abhi178

√(6x + 7) - (2x -7) =0

√(6x + 7) = (2x -7)

take square both sides

6x + 7 = (2x - 7)^2 = 4x^2 -28x +49

4x^2 -34x +42 =0

2x^2 -17x +21 =0

2x^2 -14x -3x +21 =0

2x(x - 7) -3(x - 7) =0

(2x -3)(x - 7) =0

x = 3/2 and 7

Answer 2

Answer:

2

Step-by-step explanation:

$7^{6} . 7^{2x} = 7^{10}$

• $a^{m}. a^{n} =a^{m+n}$

6 + 2x = 10

2x = 4

x = 2