What is the answer to 10=95*0.914^x ?

The answer to 10=95*0.914^x is x=(ln(2/19))/(ln(0.914))

Solve for x: 10=95*0.914^x

The solution is x=(ln(2/19))/(ln(0.914))

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10 = 95 \cdot 0.91 4^{x}

x = \frac{ln ( \frac{2}{19} )}{ln ( 0.914 )}

Decimal Notation

x = 25.03529 \dots

Solution steps

10 = 95 \cdot 0.91 4^{x}

Switch sides

95 \cdot 0.91 4^{x} = 10

Divide both sides by

95

0.91 4^{x} = \frac{2}{19}

Apply exponent rules

x ln (0.914) = ln (\frac{2}{19})

Solve

x ln (0.914) = ln (\frac{2}{19}) : x = \frac{ln ( \frac{2}{19} )}{ln ( 0.914 )}

x = \frac{ln ( \frac{2}{19} )}{ln ( 0.914 )}

5^{t} = 7

e^{x} + e^{3 x} = 1

4^{- x + 3} = 8

8^{x} + \frac{1}{8 ^{x}} = 9

7^{2 + x} = 98

What is the answer to 10=95*0.914^x ?
The answer to 10=95*0.914^x is x=(ln(2/19))/(ln(0.914))
Solve for x: 10=95*0.914^x
The solution is x=(ln(2/19))/(ln(0.914))