What is the answer to 86*10^{x/4}=41 ?

The answer to 86*10^{x/4}=41 is x=(4ln(41/86))/(ln(10))

Solve for x: 86*10^{x/4}=41

The solution is x=(4ln(41/86))/(ln(10))

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86 \cdot 1 0^{\frac{x}{4}} = 41

x = \frac{4 ln ( \frac{41}{86} )}{ln ( 10 )}

Decimal Notation

x = - 1.28685 \dots

Solution steps

86 \cdot 1 0^{\frac{x}{4}} = 41

Divide both sides by

86

1 0^{\frac{x}{4}} = \frac{41}{86}

Apply exponent rules

\frac{x}{4} ln (10) = ln (\frac{41}{86})

Solve

\frac{x}{4} ln (10) = ln (\frac{41}{86}) : x = \frac{4 ln ( \frac{41}{86} )}{ln ( 10 )}

x = \frac{4 ln ( \frac{41}{86} )}{ln ( 10 )}

8^{x + 6} = 5^{x}

\frac{16 e ^{4 x - 8}}{e ^{16} - 1} = 0

ln (e^{x}) = 2

3^{2 n - 4} = 1

x, 5^{(x + 1)} = 25

What is the answer to 86*10^{x/4}=41 ?
The answer to 86*10^{x/4}=41 is x=(4ln(41/86))/(ln(10))
Solve for x: 86*10^{x/4}=41
The solution is x=(4ln(41/86))/(ln(10))