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

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

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

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

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4 (2^{x}) = 10

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

Decimal Notation

x = 1.32192 \dots

Solution steps

4 (2^{x}) = 10

Divide both sides by

4

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

Apply exponent rules

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

Solve

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

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

e^{- 0.3 t} = 125

35 = 21 + 1079 (e^{- 19028 x})

a^{x} ln (a) = e

e^{x} \cdot x = 0

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

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