What is the answer to 5.5=48.6*0.967^x ?

The answer to 5.5=48.6*0.967^x is x=(ln(55/486))/(ln(0.967))

Solve for x: 5.5=48.6*0.967^x

The solution is x=(ln(55/486))/(ln(0.967))

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5.5 = 48.6 \cdot 0.96 7^{x}

x = \frac{ln ( \frac{55}{486} )}{ln ( 0.967 )}

Decimal Notation

x = 64.93099 \dots

Solution steps

5.5 = 48.6 \cdot 0.96 7^{x}

Switch sides

48.6 \cdot 0.96 7^{x} = 5.5

Multiply both sides by

10

486 \cdot 0.96 7^{x} = 55

Divide both sides by

486

0.96 7^{x} = \frac{55}{486}

Apply exponent rules

x ln (0.967) = ln (\frac{55}{486})

Solve

x ln (0.967) = ln (\frac{55}{486}) : x = \frac{ln ( \frac{55}{486} )}{ln ( 0.967 )}

x = \frac{ln ( \frac{55}{486} )}{ln ( 0.967 )}

48 = 6 e^{4 k}

\frac{350}{50} = 1.0 8^{n}

3^{2 x} + 3^{x + 1} = 10

2^{x} - 4 = - 4^{x} + 4

x, 3^{2 x + 1} + 1 = 3^{x}

What is the answer to 5.5=48.6*0.967^x ?
The answer to 5.5=48.6*0.967^x is x=(ln(55/486))/(ln(0.967))
Solve for x: 5.5=48.6*0.967^x
The solution is x=(ln(55/486))/(ln(0.967))