What is the answer to (log_{5}(100))/((x-3))=2 ?

The answer to (log_{5}(100))/((x-3))=2 is x=log_{5}(10)+3

Solve for x: (log_{5}(100))/((x-3))=2

The solution is x=log_{5}(10)+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{lo g _{5} ( 100 )}{( x - 3 )} = 2

x = lo g_{5} (10) + 3

Decimal

x = 4.43067 \dots

Solution steps

\frac{lo g _{5} ( 100 )}{( x - 3 )} = 2

Simplify

\frac{lo g _{5} ( 100 )}{x - 3} : \frac{2 lo g _{5} ( 10 )}{x - 3}

\frac{2 lo g _{5} ( 10 )}{x - 3} = 2

Multiply both sides by

x - 3

2 lo g_{5} (10) = 2 (x - 3)

Switch sides

2 (x - 3) = 2 lo g_{5} (10)

Divide both sides by

2

x - 3 = lo g_{5} (10)

Move

3

to the right side

x = lo g_{5} (10) + 3

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = lo g_{5} (10) + 3

3 - \frac{1}{x + 1} = \frac{x}{x + 1}

\frac{1}{x + 2} + 2 = \frac{9}{x + 2}

- 9 + \frac{36}{a} = - 5

- \frac{15}{e} = 3

x^{2} - 9 = \frac{9}{x ^{2} - 9}

What is the answer to (log_{5}(100))/((x-3))=2 ?
The answer to (log_{5}(100))/((x-3))=2 is x=log_{5}(10)+3
Solve for x: (log_{5}(100))/((x-3))=2
The solution is x=log_{5}(10)+3