What is the answer to 3(2)^x=51 ?

The answer to 3(2)^x=51 is x=(ln(17))/(ln(2))

Solve for x: 3(2)^x=51

The solution is x=(ln(17))/(ln(2))

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3 (2)^{x} = 51

x = \frac{ln ( 17 )}{ln ( 2 )}

Decimal Notation

x = 4.08746 \dots

Solution steps

3 (2)^{x} = 51

Divide both sides by

3

2^{x} = 17

Apply exponent rules

x ln (2) = ln (17)

Solve

x ln (2) = ln (17) : x = \frac{ln ( 17 )}{ln ( 2 )}

x = \frac{ln ( 17 )}{ln ( 2 )}

e^{x} = 4 x

e^{x} = 72

2^{x} = \frac{4}{2}

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

5 e^{4 x + 7} = 15 π