What is the answer to 10*2^{(3t)/5}=1000 ?

The answer to 10*2^{(3t)/5}=1000 is t=(10ln(10))/(3ln(2))

Solve for t: 10*2^{(3t)/5}=1000

The solution is t=(10ln(10))/(3ln(2))

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10 \cdot 2^{\frac{3 t}{5}} = 1000

t = \frac{10 ln ( 10 )}{3 ln ( 2 )}

Decimal Notation

t = 11.07309 \dots

Solution steps

10 \cdot 2^{\frac{3 t}{5}} = 1000

Divide both sides by

10

2^{\frac{3 t}{5}} = 100

Apply exponent rules

\frac{3 t}{5} ln (2) = ln (100)

Solve

\frac{3 t}{5} ln (2) = ln (100) : t = \frac{10 ln ( 10 )}{3 ln ( 2 )}

t = \frac{10 ln ( 10 )}{3 ln ( 2 )}

3^{x} = e^{x - 2}

2 5^{x} + 5^{x} = 6

3^{2 x} \cdot 2^{x} = \frac{1}{18}

2^{x} 3^{x + 1} = 108

(5 - e)^{x} = 1

What is the answer to 10*2^{(3t)/5}=1000 ?
The answer to 10*2^{(3t)/5}=1000 is t=(10ln(10))/(3ln(2))
Solve for t: 10*2^{(3t)/5}=1000
The solution is t=(10ln(10))/(3ln(2))