What is the answer to 4(2^t)=10 ?

The answer to 4(2^t)=10 is t=(ln(5/2))/(ln(2))

Solve for t: 4(2^t)=10

The solution is t=(ln(5/2))/(ln(2))

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4 (2^{t}) = 10

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

Decimal Notation

t = 1.32192 \dots

Solution steps

4 (2^{t}) = 10

Divide both sides by

4

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

Apply exponent rules

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

Solve

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

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

e^{y} = 4

2^{4 x - 2} = 8^{x + 1}

4^{x} = \frac{1}{256}

3^{x^{2} + 3 x} = 3^{x + 8}

60 = 5 e^{2 t}

What is the answer to 4(2^t)=10 ?
The answer to 4(2^t)=10 is t=(ln(5/2))/(ln(2))
Solve for t: 4(2^t)=10
The solution is t=(ln(5/2))/(ln(2))