What is the answer to 2log_{3}(x)-log_{3}(25)=2 ?

The answer to 2log_{3}(x)-log_{3}(25)=2 is x=3^{(2+2log_{3}(5))/2}

Solve for x: 2log_{3}(x)-log_{3}(25)=2

The solution is x=3^{(2+2log_{3}(5))/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} (25) = 2

x = 3^{\frac{2 + 2 l o g _{3} ( 5 )}{2}}

Decimal Notation

x = 15

Solution steps

2 lo g_{3} (x) - lo g_{3} (25) = 2

Move

lo g_{3} (25)

to the right side

2 lo g_{3} (x) = 2 + lo g_{3} (25)

Divide both sides by

2

lo g_{3} (x) = \frac{2 + lo g _{3} ( 25 )}{2}

Apply log rules

x = 3^{\frac{2 + 2 l o g _{3} ( 5 )}{2}}

Verify Solutions:

x = 3^{\frac{2 + 2 l o g _{3} ( 5 )}{2}}

True

The solution is

x = 3^{\frac{2 + 2 l o g _{3} ( 5 )}{2}}

5 = 9.95593 ln (x) + 68.691

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

lo g_{3} (t) = 11364

ln (x) = \frac{2}{x}

12 = lo g_{10} (x)

What is the answer to 2log_{3}(x)-log_{3}(25)=2 ?
The answer to 2log_{3}(x)-log_{3}(25)=2 is x=3^{(2+2log_{3}(5))/2}
Solve for x: 2log_{3}(x)-log_{3}(25)=2
The solution is x=3^{(2+2log_{3}(5))/2}