What is the answer to 30=6ln(1.8)(1.8^x) ?

The answer to 30=6ln(1.8)(1.8^x) is x=(ln(5/(ln(1.8))))/(ln(1.8))

Solve for x: 30=6ln(1.8)(1.8^x)

The solution is x=(ln(5/(ln(1.8))))/(ln(1.8))

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30 = 6 ln (1.8) (1. 8^{x})

x = \frac{ln ( \frac{5}{l n ( 1.8 )} )}{ln ( 1.8 )}

Decimal Notation

x = 3.64218 \dots

Solution steps

30 = 6 ln (1.8) (1. 8^{x})

Switch sides

6 ln (1.8) \cdot 1. 8^{x} = 30

Divide both sides by

6 ln (1.8)

1. 8^{x} = \frac{5}{ln ( 1.8 )}

Apply exponent rules

x ln (1.8) = ln (\frac{5}{ln ( 1.8 )})

Solve

x ln (1.8) = ln (\frac{5}{ln ( 1.8 )}) : x = \frac{ln ( \frac{5}{l n ( 1.8 )} )}{ln ( 1.8 )}

x = \frac{ln ( \frac{5}{l n ( 1.8 )} )}{ln ( 1.8 )}

(\frac{4}{5})^{\frac{1}{x}} = 3

e^{2 x} + 2 e^{x} - 15 = 0

4^{x} = 4^{5}

3^{x} \cdot 5^{x - 1} = 10125

4 e^{3 x - 2} = 244

What is the answer to 30=6ln(1.8)(1.8^x) ?
The answer to 30=6ln(1.8)(1.8^x) is x=(ln(5/(ln(1.8))))/(ln(1.8))
Solve for x: 30=6ln(1.8)(1.8^x)
The solution is x=(ln(5/(ln(1.8))))/(ln(1.8))