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Popular >

log_{3}(x-2)<1

Solution

lo g_{3} (x - 2) < 1

Solution

2 < x < 5

+1

Interval Notation

(2, 5)

Solution steps

lo g_{3} (x - 2) < 1

Apply log rules

x - 2 < 3 and x - 2 > 0

x - 2 < 3 and x - 2 > 0 : 2 < x < 5

2 < x < 5

Popular Examples

(1/2)^{log_{2}(x^2-1)}>1

(\frac{1}{2})^{l o g_{2} (x^{2} - 1)} > 1

lo g_{4} (x) > 0

log_{3x+5}(9x^2+8x+8)>2

lo g_{3 x + 5} (9 x^{2} + 8 x + 8) > 2

log_{2}(x-1)+log_{2}(x)>1

lo g_{2} (x - 1) + lo g_{2} (x) > 1

1/(2log_{10)(n^2-1)}>1

\frac{1}{2 lo g _{10} ( n ^{2} - 1 )} > 1

Frequently Asked Questions (FAQ)

What is log_{3}(x-2)<1 ?
The solution to log_{3}(x-2)<1 is 2<x<5