What is the answer to 2log_{3}(x)-log_{3}(4)=4 ?

The answer to 2log_{3}(x)-log_{3}(4)=4 is x=3^{(4+2log_{3}(2))/2}

Solve for x: 2log_{3}(x)-log_{3}(4)=4

The solution is x=3^{(4+2log_{3}(2))/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 3^{\frac{4 + 2 l o g _{3} ( 2 )}{2}}

Decimal Notation

x = 18

Solution steps

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

Move

lo g_{3} (4)

to the right side

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

Divide both sides by

2

lo g_{3} (x) = \frac{4 + lo g _{3} ( 4 )}{2}

Apply log rules

x = 3^{\frac{4 + 2 l o g _{3} ( 2 )}{2}}

Verify Solutions:

x = 3^{\frac{4 + 2 l o g _{3} ( 2 )}{2}}

True

The solution is

x = 3^{\frac{4 + 2 l o g _{3} ( 2 )}{2}}

5 lo g_{10} (2 x - 8) = 2

10 lo g_{10} (1 + x^{2}) = 0.5

ln (s) = 74484

lo g_{10} (N) = 2

y, x = lo g_{2} (2 y + 1)

What is the answer to 2log_{3}(x)-log_{3}(4)=4 ?
The answer to 2log_{3}(x)-log_{3}(4)=4 is x=3^{(4+2log_{3}(2))/2}
Solve for x: 2log_{3}(x)-log_{3}(4)=4
The solution is x=3^{(4+2log_{3}(2))/2}