Question

The number of meaningful solutions of
log4 (x - 1) = log2 (x - 3) is.
​

Answer 1

Solutions:

log4 (x - 1) = log2 (x - 3)

log2²(x - 1) = log2 (x - 3)

1/2log2²(x - 1) = love(x - 3)²

(x - 1) = (x - 3)

x² - 7x + 10 = 0

(x - 2) (x - 5) = 0

x = 2 , 5

but at x = 2 given equation is not satisfied.

hence, meaningful solution is 1.

silentlover45.❤️

Answer 2

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log4 (x - 1) = log2 (x - 3)

log2² (x - 1) = log2 (x - 3)

1/2 log2²(x - 1) = log2 (x - 3)²

(x - 1) = (x - 3)

x² - 7x + 10 = 0

(x - 2) (x - 5) = 0

x = 2 , 5