What is the answer to 8=80(0.1)^x ?

The answer to 8=80(0.1)^x is x=-(ln(10))/(ln(0.1))

Solve for x: 8=80(0.1)^x

The solution is x=-(ln(10))/(ln(0.1))

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8 = 80 (0.1)^{x}

x = - \frac{ln ( 10 )}{ln ( 0.1 )}

Decimal Notation

x = 1

Solution steps

8 = 80 (0.1)^{x}

Switch sides

80 \cdot 0. 1^{x} = 8

Divide both sides by

80

0. 1^{x} = \frac{1}{10}

Apply exponent rules

x ln (0.1) = ln (\frac{1}{10})

Solve

x ln (0.1) = ln (\frac{1}{10}) : x = - \frac{ln ( 10 )}{ln ( 0.1 )}

x = - \frac{ln ( 10 )}{ln ( 0.1 )}

e^{n - 4} + 4 = 82

50 = 10 + 60 e^{0.5 k}

4 = 20 (1 - 0.06)^{x}

5^{100} - 5^{99} = 5^{x} \cdot 4

5^{5 x + 4} = 35

What is the answer to 8=80(0.1)^x ?
The answer to 8=80(0.1)^x is x=-(ln(10))/(ln(0.1))
Solve for x: 8=80(0.1)^x
The solution is x=-(ln(10))/(ln(0.1))