What is the answer to 5(2)^{8t}=15 ?

The answer to 5(2)^{8t}=15 is t=(ln(3))/(8ln(2))

Solve for t: 5(2)^{8t}=15

The solution is t=(ln(3))/(8ln(2))

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5 (2)^{8 t} = 15

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

Solution steps

5 (2)^{8 t} = 15

Divide both sides by

5

2^{8 t} = 3

Apply exponent rules

8 t ln (2) = ln (3)

Solve

8 t ln (2) = ln (3) : t = \frac{ln ( 3 )}{8 ln ( 2 )}

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

9 e^{x} = 1

x, 4^{x + 1} + 4^{x} = 160

2^{4} = 8^{x}

\frac{8 1 ^{3 x + 2}}{24 3 ^{- x}} = 3^{4}

2^{x} + 2^{x + 3} + 2^{x - 1} = \frac{19}{4}

What is the answer to 5(2)^{8t}=15 ?
The answer to 5(2)^{8t}=15 is t=(ln(3))/(8ln(2))
Solve for t: 5(2)^{8t}=15
The solution is t=(ln(3))/(8ln(2))