What is the answer to 2log_{5}(x)+log_{5}(8x)=3 ?

The answer to 2log_{5}(x)+log_{5}(8x)=3 is x=5^{(3-3log_{5}(2))/3}

Solve for x: 2log_{5}(x)+log_{5}(8x)=3

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 lo g_{5} (x) + lo g_{5} (8 x) = 3

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

Decimal Notation

x = 2.5

Solution steps

2 lo g_{5} (x) + lo g_{5} (8 x) = 3

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

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

ln (5 x + e) = 9

ln (5 x + e) = 7

2 \cdot lo g_{3} (x + 3) = 0

x = - ln (x)

What is the answer to 2log_{5}(x)+log_{5}(8x)=3 ?
The answer to 2log_{5}(x)+log_{5}(8x)=3 is x=5^{(3-3log_{5}(2))/3}
Solve for x: 2log_{5}(x)+log_{5}(8x)=3
The solution is x=5^{(3-3log_{5}(2))/3}