Tìm x 1/4*2/6*3/8*4/10*5/12*...*30/62*31/64= 2^x

2 câu trả lời

1/4 * 2/6 * 3/8 * 4/10 * 5/12 * ... * 30/62 * 31/64 = 2^x

--> 1/2.2 * 3/2.3 * 3/2.4 * 4/2.5 * 5/2.6 * ... * 31/2.32 = 2^x

--> 1/2^31* 1/32 = 2^x

--> 1/2^31 * 1/2^5 = 2^x

--> 1/2^36 = 2^x

--> 2^(-36) = 2^x

--> x = -36

Đáp án:

Giải thích các bước giải:

1/4 * 2/6 * 3/8 * 4/10 * 5/12 * ... * 30/62 * 31/64 = 4^x

=> 1/2.2 * 3/2.3 * 3/2.4 * 4/2.5 * 5/2.6 * ... * 31/2.32 = 4^x

=> 1/2^31* 1/32 = 4^x

=> 1/2^31 * 1/2^5 = 4^x

=> 1/2^36 = 4^x = 2^(2x)

=> 2^(-36) = 2^(2x)

=> 2x = -36 suy ra x = -18.