What is the answer to xln(5)=(x+1)ln(4) ?

The answer to xln(5)=(x+1)ln(4) is x=(2ln(2))/(ln(5)-2ln(2))

Solve for x: xln(5)=(x+1)ln(4)

The solution is x=(2ln(2))/(ln(5)-2ln(2))

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x ln (5) = (x + 1) ln (4)

x = \frac{2 ln ( 2 )}{ln ( 5 ) - 2 ln ( 2 )}

Decimal Notation

x = 6.21256 \dots

Solution steps

x ln (5) = (x + 1) ln (4)

Expand

(x + 1) ln (4) : ln (4) x + ln (4)

x ln (5) = ln (4) x + ln (4)

Move

ln (4) x

to the left side

ln (5) x - 2 ln (2) x = ln (4)

Factor

ln (5) x - 2 ln (2) x : (ln (5) - 2 ln (2)) x

(ln (5) - 2 ln (2)) x = ln (4)

Divide both sides by

ln (5) - 2 ln (2)

x = \frac{2 ln ( 2 )}{ln ( 5 ) - 2 ln ( 2 )}

a x + b = \frac{a - b x}{2}

2 (1) + y = 2

a, (\frac{36}{25})^{\frac{- 1}{2}} = \frac{a}{b}

\frac{4 x + 31}{3} = 5

x, 4 x + 8 y = 7

What is the answer to xln(5)=(x+1)ln(4) ?
The answer to xln(5)=(x+1)ln(4) is x=(2ln(2))/(ln(5)-2ln(2))
Solve for x: xln(5)=(x+1)ln(4)
The solution is x=(2ln(2))/(ln(5)-2ln(2))