What is the answer to 3/2 log_{25}(x+5)=1 ?

The answer to 3/2 log_{25}(x+5)=1 is x=25^{2/3}-5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/2 log_{25}(x+5)=1

\frac{3}{2} lo g_{25} (x + 5) = 1

x = 2 5^{\frac{2}{3}} - 5

Decimal Notation

x = 3.54987 \dots

Solution steps

\frac{3}{2} lo g_{25} (x + 5) = 1

Multiply both sides by

2

3 lo g_{25} (x + 5) = 2

Divide both sides by

3

lo g_{25} (x + 5) = \frac{2}{3}

Apply log rules

x + 5 = 2 5^{\frac{2}{3}}

Solve

x + 5 = 2 5^{\frac{2}{3}} : x = 2 5^{\frac{2}{3}} - 5

x = 2 5^{\frac{2}{3}} - 5

Verify Solutions:

x = 2 5^{\frac{2}{3}} - 5

True

The solution is

x = 2 5^{\frac{2}{3}} - 5

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

10 = ln ((t^{2} \frac{1}{2}) + e)

lo g_{x} (10) = 1

lo g_{10} (\frac{1000}{x}) = 3

lo g_{x} (10) = 5

What is the answer to 3/2 log_{25}(x+5)=1 ?
The answer to 3/2 log_{25}(x+5)=1 is x=25^{2/3}-5
Solve for x: 3/2 log_{25}(x+5)=1
The solution is x=25^{2/3}-5