What is the answer to 3(2^x)=42 ?

The answer to 3(2^x)=42 is x=(ln(14))/(ln(2))

Solve for x: 3(2^x)=42

The solution is x=(ln(14))/(ln(2))

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3 (2^{x}) = 42

x = \frac{ln ( 14 )}{ln ( 2 )}

Decimal Notation

x = 3.80735 \dots

Solution steps

3 (2^{x}) = 42

Divide both sides by

3

2^{x} = 14

Apply exponent rules

x ln (2) = ln (14)

Solve

x ln (2) = ln (14) : x = \frac{ln ( 14 )}{ln ( 2 )}

x = \frac{ln ( 14 )}{ln ( 2 )}

e^{6 x} - 5 e^{3 x} + 4 = 0

e^{x} = e^{- x}

2 e^{- 2 x} = 5

e^{2 x} - 4 e^{x} + 3 = 0

8^{x} = 4