What is the answer to 2(3^x)=5 ?

The answer to 2(3^x)=5 is x=(ln(5/2))/(ln(3))

Solve for x: 2(3^x)=5

The solution is x=(ln(5/2))/(ln(3))

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2 (3^{x}) = 5

x = \frac{ln ( \frac{5}{2} )}{ln ( 3 )}

Decimal Notation

x = 0.83404 \dots

Solution steps

2 (3^{x}) = 5

Divide both sides by

2

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

Apply exponent rules

x ln (3) = ln (\frac{5}{2})

Solve

x ln (3) = ln (\frac{5}{2}) : x = \frac{ln ( \frac{5}{2} )}{ln ( 3 )}

x = \frac{ln ( \frac{5}{2} )}{ln ( 3 )}

x = e^{x}

6^{1 - x} = 1 0^{x}

x^{l o g_{2} (x) + 2} = 8

0 = 2^{x}