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^{x} = 2 x

e^{x} = 45

e^{x} = 50

e^{x} = 79

3 = 60 + (2 - 60) e^{- 0.001 x}