What is the answer to log_{3x}(9x+10)=2 ?

The answer to log_{3x}(9x+10)=2 is x= 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{3x}(9x+10)=2

lo g_{3 x} (9 x + 10) = 2

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

lo g_{3 x} (9 x + 10) = 2

Apply log rules

\frac{ln ( 9 x + 10 )}{ln ( 3 x )} = 2

Multiply both sides by

ln (3 x)

\frac{ln ( 9 x + 10 )}{ln ( 3 x )} ln (3 x) = 2 ln (3 x)

Simplify

ln (9 x + 10) = 2 ln (3 x)

Apply log rules

9 x + 10 = 9 x^{2}

Solve

9 x + 10 = 9 x^{2} : x = \frac{5}{3}, x = - \frac{2}{3}

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

Verify Solutions:

x = \frac{5}{3}

True

, x = - \frac{2}{3}

False

The solution is

x = \frac{5}{3}

lo g_{10} (3 x + 1) = 5

lo g_{\frac{3}{2}} (x) = - 2

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

ln (x) = - ln (2)

ln ((x + 5)^{1.2}) = 9

What is the answer to log_{3x}(9x+10)=2 ?
The answer to log_{3x}(9x+10)=2 is x= 5/3
Solve for x: log_{3x}(9x+10)=2
The solution is x= 5/3