What is the answer to log_{3}(x-sqrt(x-1))=1 ?

The answer to log_{3}(x-sqrt(x-1))=1 is x=5

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log_{3}(x-sqrt(x-1))=1

lo g_{3} (x - x - 1) = 1

x = 5

Solution steps

lo g_{3} (x - x - 1) = 1

Apply log rules

x - x - 1 = 3

Solve

x - x - 1 = 3 : x = 5

x = 5

lo g_{x} (3) = 2.23

lo g_{4} (2 x - 3) + lo g_{4} (5 - x) = 2

x, ln (x + 4) = 4

lo g_{10} (\frac{1}{x}) = 8.78

ln (x) + x = 4

What is the answer to log_{3}(x-sqrt(x-1))=1 ?
The answer to log_{3}(x-sqrt(x-1))=1 is x=5
Solve for x: log_{3}(x-sqrt(x-1))=1
The solution is x=5