What is the answer to 3^y+3^y+2= 10/3 ?

The answer to 3^y+3^y+2= 10/3 is y=(ln(2/3))/(ln(3))

Solve for y: 3^y+3^y+2= 10/3

The solution is y=(ln(2/3))/(ln(3))

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3^{y} + 3^{y} + 2 = \frac{10}{3}

y = \frac{ln ( \frac{2}{3} )}{ln ( 3 )}

Decimal Notation

y = - 0.36907 \dots

Solution steps

3^{y} + 3^{y} + 2 = \frac{10}{3}

Add similar elements:

3^{y} + 3^{y} = 2 \cdot 3^{y}

2 \cdot 3^{y} + 2 = \frac{10}{3}

Move

2

to the right side

2 \cdot 3^{y} = \frac{4}{3}

Divide both sides by

2

3^{y} = \frac{2}{3}

Apply exponent rules

y ln (3) = ln (\frac{2}{3})

Solve

y ln (3) = ln (\frac{2}{3}) : y = \frac{ln ( \frac{2}{3} )}{ln ( 3 )}

y = \frac{ln ( \frac{2}{3} )}{ln ( 3 )}

x, 2^{x + 1} \cdot 3^{y - 1} = (2 \cdot 3)^{5}

\frac{( \frac{( 2 ^{x} )}{16} ) ^{x} - 1}{16} = 0

3^{x - 2} + 3^{x} = 10

x, q = e^{100 x} \cdot v (x)

1.1111 = 1.01 5^{n}

What is the answer to 3^y+3^y+2= 10/3 ?
The answer to 3^y+3^y+2= 10/3 is y=(ln(2/3))/(ln(3))
Solve for y: 3^y+3^y+2= 10/3
The solution is y=(ln(2/3))/(ln(3))