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

The answer to log_{3}(x+3)+3x=5 is x=(\W_{0}(14348907ln(3))-9ln(3))/(3ln(3))

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

The solution is x=(\W_{0}(14348907ln(3))-9ln(3))/(3ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{W _{0} ( 14348907 ln ( 3 ) ) - 9 ln ( 3 )}{3 ln ( 3 )}

Decimal Notation

x = 1.22914 \dots

Solution steps

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

Move

3 x

to the right side

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

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

3^{l o g_{3} (x + 3)} = 3^{5 - 3 x}

Simplify

3^{l o g_{3} (x + 3)} : x + 3

x + 3 = 3^{5 - 3 x}

Solve

x + 3 = 3^{5 - 3 x} : x = \frac{W _{0} ( 14348907 ln ( 3 ) ) - 9 ln ( 3 )}{3 ln ( 3 )}

x = \frac{W _{0} ( 14348907 ln ( 3 ) ) - 9 ln ( 3 )}{3 ln ( 3 )}

Verify Solutions:

x = \frac{W _{0} ( 14348907 ln ( 3 ) ) - 9 ln ( 3 )}{3 ln ( 3 )}

True

The solution is

x = \frac{W _{0} ( 14348907 ln ( 3 ) ) - 9 ln ( 3 )}{3 ln ( 3 )}

2^{l o g_{10} (n)} = n

lo g_{5} (x) = 2021

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

0 = ln (0 + c)

8 lo g_{10} (x) = x

What is the answer to log_{3}(x+3)+3x=5 ?
The answer to log_{3}(x+3)+3x=5 is x=(\W_{0}(14348907ln(3))-9ln(3))/(3ln(3))
Solve for x: log_{3}(x+3)+3x=5
The solution is x=(\W_{0}(14348907ln(3))-9ln(3))/(3ln(3))