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Popular >

2<10^x<3

Solution

2 < 1 0^{x} < 3

Solution

lo g_{10} (2) < x < lo g_{10} (3)

+2

Interval Notation

(lo g_{10} (2), lo g_{10} (3))

Decimal Notation

0.30102 \dots < x < 0.47712 \dots

Solution steps

2 < 1 0^{x} < 3

If

a < u < b

then

a < u and u < b

2 < 1 0^{x} and 1 0^{x} < 3

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

1 0^{x} < 3 : x < lo g_{10} (3)

Combine the intervals

x > lo g_{10} (2) and x < lo g_{10} (3)

Merge Overlapping Intervals

lo g_{10} (2) < x < lo g_{10} (3)

Popular Examples

simplify log_{sqrt(5)}(25)simplify

lo g_{5} (25)

\frac{v}{29} \geq - 35

factor c^2d+3cd^2 factor

c^{2} d + 3 c d^{2}

((x-5)}{10}+\frac{(1-2x))/5 =((3-x))/4

\frac{( x - 5 )}{10} + \frac{( 1 - 2 x )}{5} = \frac{( 3 - x )}{4}

8 z^{2} - 6 z - 9 = 0

Frequently Asked Questions (FAQ)

What is 2<10^x<3 ?
The solution to 2<10^x<3 is log_{10}(2)<x<log_{10}(3)