What is the answer to 30*3^x=180 ?

The answer to 30*3^x=180 is x=(ln(6))/(ln(3))

Solve for x: 30*3^x=180

The solution is x=(ln(6))/(ln(3))

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30 \cdot 3^{x} = 180

x = \frac{ln ( 6 )}{ln ( 3 )}

Decimal Notation

x = 1.63092 \dots

Solution steps

30 \cdot 3^{x} = 180

Divide both sides by

30

3^{x} = 6

Apply exponent rules

x ln (3) = ln (6)

Solve

x ln (3) = ln (6) : x = \frac{ln ( 6 )}{ln ( 3 )}

x = \frac{ln ( 6 )}{ln ( 3 )}

e^{2 x - 4} = 1

e^{- 3 x} - 3 e^{- 3 x} x = 0

12 8^{x} = 25 6^{x}

y, \frac{1}{2 ^{- 3}} = x^{y}

2 5^{2 x} = 125

What is the answer to 30*3^x=180 ?
The answer to 30*3^x=180 is x=(ln(6))/(ln(3))
Solve for x: 30*3^x=180
The solution is x=(ln(6))/(ln(3))