What is the answer to 2/3 (2)^{3t}=8 ?

The answer to 2/3 (2)^{3t}=8 is t=(ln(12))/(3ln(2))

Solve for t: 2/3 (2)^{3t}=8

The solution is t=(ln(12))/(3ln(2))

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\frac{2}{3} (2)^{3 t} = 8

t = \frac{ln ( 12 )}{3 ln ( 2 )}

Decimal Notation

t = 1.19498 \dots

Solution steps

\frac{2}{3} (2)^{3 t} = 8

Multiply both sides by

3

2 \cdot 2^{3 t} = 24

Divide both sides by

2

2^{3 t} = 12

Apply exponent rules

3 t ln (2) = ln (12)

Solve

3 t ln (2) = ln (12) : t = \frac{ln ( 12 )}{3 ln ( 2 )}

t = \frac{ln ( 12 )}{3 ln ( 2 )}

9^{x} - 2 \cdot 3^{x} - 3 = 0

2^{n} = 8

2^{x} + 2^{x + 2} = 20

2^{6 x + 7} = (\frac{1}{8})^{1 - 5 x}

5^{x + 1} = 3^{2 x}

What is the answer to 2/3 (2)^{3t}=8 ?
The answer to 2/3 (2)^{3t}=8 is t=(ln(12))/(3ln(2))
Solve for t: 2/3 (2)^{3t}=8
The solution is t=(ln(12))/(3ln(2))