What is the answer to 5log_{3}(x)-12log_{9}(27)=7 ?

The answer to 5log_{3}(x)-12log_{9}(27)=7 is x=243

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5log_{3}(x)-12log_{9}(27)=7

5 lo g_{3} (x) - 12 lo g_{9} (27) = 7

x = 243

Solution steps

5 lo g_{3} (x) - 12 lo g_{9} (27) = 7

Move

12 lo g_{9} (27)

to the right side

5 lo g_{3} (x) = 7 + 12 lo g_{9} (27)

Divide both sides by

5

lo g_{3} (x) = \frac{7 + 12 lo g _{9} ( 27 )}{5}

Apply log rules

x = 243

Verify Solutions:

x = 243

True

The solution is

x = 243

lo g_{9} (x) = (lo g_{3} (x))^{2}

6 ln (2 x - 7) - 6 = - 18

ln (x) = ln (4)

9.1 = - lo g_{10} (x)

lo g_{2} (lo g_{3} (2 x)) = 4

What is the answer to 5log_{3}(x)-12log_{9}(27)=7 ?
The answer to 5log_{3}(x)-12log_{9}(27)=7 is x=243
Solve for x: 5log_{3}(x)-12log_{9}(27)=7
The solution is x=243