What is the answer to 34.1*7.11^x=120.28 ?

The answer to 34.1*7.11^x=120.28 is x=(ln(194/55))/(ln(7.11))

Solve for x: 34.1*7.11^x=120.28

The solution is x=(ln(194/55))/(ln(7.11))

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34.1 \cdot 7.1 1^{x} = 120.28

x = \frac{ln ( \frac{194}{55} )}{ln ( 7.11 )}

Decimal Notation

x = 0.64263 \dots

Solution steps

34.1 \cdot 7.1 1^{x} = 120.28

Multiply both sides by

100

3410 \cdot 7.1 1^{x} = 12028

Divide both sides by

3410

7.1 1^{x} = \frac{194}{55}

Apply exponent rules

x ln (7.11) = ln (\frac{194}{55})

Solve

x ln (7.11) = ln (\frac{194}{55}) : x = \frac{ln ( \frac{194}{55} )}{ln ( 7.11 )}

x = \frac{ln ( \frac{194}{55} )}{ln ( 7.11 )}

50000 = 100 \cdot 2^{\frac{x}{3}}

5^{5 x + 1} = 125

- e^{- x} + 1 = \frac{1}{2}

(\frac{1}{2})^{x} - 1 = 0

2 5^{x + 1} = 12 5^{3 x - 1}

What is the answer to 34.1*7.11^x=120.28 ?
The answer to 34.1*7.11^x=120.28 is x=(ln(194/55))/(ln(7.11))
Solve for x: 34.1*7.11^x=120.28
The solution is x=(ln(194/55))/(ln(7.11))