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Popular >

2<10^x<5

Solution

2 < 1 0^{x} < 5

Solution

lo g_{10} (2) < x < lo g_{10} (5)

+2

Interval Notation

(lo g_{10} (2), lo g_{10} (5))

Decimal Notation

0.30102 \dots < x < 0.69897 \dots

Solution steps

2 < 1 0^{x} < 5

If

a < u < b

then

a < u and u < b

2 < 1 0^{x} and 1 0^{x} < 5

2 < 1 0^{x} : x > lo g_{10} (2)

1 0^{x} < 5 : x < lo g_{10} (5)

Combine the intervals

x > lo g_{10} (2) and x < lo g_{10} (5)

Merge Overlapping Intervals

lo g_{10} (2) < x < lo g_{10} (5)

Popular Examples

factor (x+17)^2+x+17 factor

(x + 17)^{2} + x + 17

factor x^4+9x^2+20 factor

x^{4} + 9 x^{2} + 20

2^{2} + 7 (2) + 7

factor 4x^2-10x-6 factor

4 x^{2} - 10 x - 6

13300+1000x=26800-500x

13300 + 1000 x = 26800 - 500 x

Frequently Asked Questions (FAQ)

What is 2<10^x<5 ?
The solution to 2<10^x<5 is log_{10}(2)<x<log_{10}(5)