en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3^x)^2<81

Solution

(3^{x})^{2} < 81

Solution

x < 2

+1

Interval Notation

(- \infty, 2)

Solution steps

(3^{x})^{2} < 81

For

u^{n} < a

, if

n

is even then

- 81 < 3^{x} < 81

81 = 9

- 9 < 3^{x} < 9

If

a < u < b

then

a < u and u < b

- 9 < 3^{x} and 3^{x} < 9

- 9 < 3^{x} :

True for all

x

3^{x} < 9 : x < 2

Combine the intervals

True for all x and x < 2

Merge Overlapping Intervals

x < 2

Popular Examples

(3^{x/2})^{x-1}>= (3/9)^{x-3}

(3^{\frac{x}{2}})^{x - 1} \geq (\frac{3}{9})^{x - 3}

3^{x} \geq 5

(((3^x-5^x)(x-2)))/((x^2+5x+2))>= 0

\frac{( ( 3 ^{x} - 5 ^{x} ) ( x - 2 ) )}{( x ^{2} + 5 x + 2 )} \geq 0

log_{x}(((4x+5))/((6-5x)))<-1

lo g_{x} (\frac{( 4 x + 5 )}{( 6 - 5 x )}) < - 1

log_{10}(x)+log_{10}(x+3)<1

lo g_{10} (x) + lo g_{10} (x + 3) < 1

Frequently Asked Questions (FAQ)

What is (3^x)^2<81 ?
The solution to (3^x)^2<81 is x<2